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Finding the Fourth Proportional to 3,444.64, 4,753.64 and 1,872.76

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Solution

The fourth proportional to 3,444.64, 4,753.64 and 1,872.76 is: 2,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.64 : 4,753.64 = 1,872.76 : x
  2. Step 2: Convert to fraction form
    3,444.64/4,753.64 = 1,872.76/x
  3. Step 3: Cross multiply
    3,444.64x = 4,753.64 × 1,872.76
  4. Step 4: Simplify right side
    3,444.64x = 8,902,426.85
  5. Step 5: Solve for x
    x = 8,902,426.85/3,444.64
  6. Step 6: Final answer
    x = 2,584.43

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Half scale
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Double scale
Find fourth proportional to 3,445.64, 4,755.02 and 1,873.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.