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Finding the Fourth Proportional to 2,565.47, 3,539.51 and 1,569.71

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Solution

The fourth proportional to 2,565.47, 3,539.51 and 1,569.71 is: 2,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.47 : 3,539.51 = 1,569.71 : x
  2. Step 2: Convert to fraction form
    2,565.47/3,539.51 = 1,569.71/x
  3. Step 3: Cross multiply
    2,565.47x = 3,539.51 × 1,569.71
  4. Step 4: Simplify right side
    2,565.47x = 5,555,986.54
  5. Step 5: Solve for x
    x = 5,555,986.54/2,565.47
  6. Step 6: Final answer
    x = 2,165.68

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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.