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Finding the Fourth Proportional to 2,564.96, 3,539.68 and 1,502.48

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Solution

The fourth proportional to 2,564.96, 3,539.68 and 1,502.48 is: 2,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.96 : 3,539.68 = 1,502.48 : x
  2. Step 2: Convert to fraction form
    2,564.96/3,539.68 = 1,502.48/x
  3. Step 3: Cross multiply
    2,564.96x = 3,539.68 × 1,502.48
  4. Step 4: Simplify right side
    2,564.96x = 5,318,298.41
  5. Step 5: Solve for x
    x = 5,318,298.41/2,564.96
  6. Step 6: Final answer
    x = 2,073.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.