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Finding the Fourth Proportional to 2,565.76, 3,539.28 and 2,392.96

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Solution

The fourth proportional to 2,565.76, 3,539.28 and 2,392.96 is: 3,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.76 : 3,539.28 = 2,392.96 : x
  2. Step 2: Convert to fraction form
    2,565.76/3,539.28 = 2,392.96/x
  3. Step 3: Cross multiply
    2,565.76x = 3,539.28 × 2,392.96
  4. Step 4: Simplify right side
    2,565.76x = 8,469,355.47
  5. Step 5: Solve for x
    x = 8,469,355.47/2,565.76
  6. Step 6: Final answer
    x = 3,300.91

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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.