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Finding the Fourth Proportional to 3,407.70, 4,700.88 and 2,288.76

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Solution

The fourth proportional to 3,407.70, 4,700.88 and 2,288.76 is: 3,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.70 : 4,700.88 = 2,288.76 : x
  2. Step 2: Convert to fraction form
    3,407.70/4,700.88 = 2,288.76/x
  3. Step 3: Cross multiply
    3,407.70x = 4,700.88 × 2,288.76
  4. Step 4: Simplify right side
    3,407.70x = 10,759,186.11
  5. Step 5: Solve for x
    x = 10,759,186.11/3,407.70
  6. Step 6: Final answer
    x = 3,157.32

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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.