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Finding the Fourth Proportional to 2,585.48, 3,877.07 and 736.17

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Solution

The fourth proportional to 2,585.48, 3,877.07 and 736.17 is: 1,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.48 : 3,877.07 = 736.17 : x
  2. Step 2: Convert to fraction form
    2,585.48/3,877.07 = 736.17/x
  3. Step 3: Cross multiply
    2,585.48x = 3,877.07 × 736.17
  4. Step 4: Simplify right side
    2,585.48x = 2,854,196.24
  5. Step 5: Solve for x
    x = 2,854,196.24/2,585.48
  6. Step 6: Final answer
    x = 1,103.93

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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.