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Finding the Fourth Proportional to 2,592.59, 3,887.13 and 837.07

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Solution

The fourth proportional to 2,592.59, 3,887.13 and 837.07 is: 1,255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.59 : 3,887.13 = 837.07 : x
  2. Step 2: Convert to fraction form
    2,592.59/3,887.13 = 837.07/x
  3. Step 3: Cross multiply
    2,592.59x = 3,887.13 × 837.07
  4. Step 4: Simplify right side
    2,592.59x = 3,253,799.91
  5. Step 5: Solve for x
    x = 3,253,799.91/2,592.59
  6. Step 6: Final answer
    x = 1,255.04

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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.