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Finding the Fourth Proportional to 2,564.81, 3,540.32 and 1,502.92

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Solution

The fourth proportional to 2,564.81, 3,540.32 and 1,502.92 is: 2,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.81 : 3,540.32 = 1,502.92 : x
  2. Step 2: Convert to fraction form
    2,564.81/3,540.32 = 1,502.92/x
  3. Step 3: Cross multiply
    2,564.81x = 3,540.32 × 1,502.92
  4. Step 4: Simplify right side
    2,564.81x = 5,320,792.52
  5. Step 5: Solve for x
    x = 5,320,792.52/2,564.81
  6. Step 6: Final answer
    x = 2,074.54

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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.