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Finding the Fourth Proportional to 2,564.91, 3,539.60 and 1,502.44

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Solution

The fourth proportional to 2,564.91, 3,539.60 and 1,502.44 is: 2,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.91 : 3,539.60 = 1,502.44 : x
  2. Step 2: Convert to fraction form
    2,564.91/3,539.60 = 1,502.44/x
  3. Step 3: Cross multiply
    2,564.91x = 3,539.60 × 1,502.44
  4. Step 4: Simplify right side
    2,564.91x = 5,318,036.62
  5. Step 5: Solve for x
    x = 5,318,036.62/2,564.91
  6. Step 6: Final answer
    x = 2,073.38

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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.