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Finding the Fourth Proportional to 3,437.80, 5,156.78 and 840.76

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Solution

The fourth proportional to 3,437.80, 5,156.78 and 840.76 is: 1,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.80 : 5,156.78 = 840.76 : x
  2. Step 2: Convert to fraction form
    3,437.80/5,156.78 = 840.76/x
  3. Step 3: Cross multiply
    3,437.80x = 5,156.78 × 840.76
  4. Step 4: Simplify right side
    3,437.80x = 4,335,614.35
  5. Step 5: Solve for x
    x = 4,335,614.35/3,437.80
  6. Step 6: Final answer
    x = 1,261.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.