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Finding the Fourth Proportional to 2,565.73, 3,539.59 and 1,571.05

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Solution

The fourth proportional to 2,565.73, 3,539.59 and 1,571.05 is: 2,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.73 : 3,539.59 = 1,571.05 : x
  2. Step 2: Convert to fraction form
    2,565.73/3,539.59 = 1,571.05/x
  3. Step 3: Cross multiply
    2,565.73x = 3,539.59 × 1,571.05
  4. Step 4: Simplify right side
    2,565.73x = 5,560,872.87
  5. Step 5: Solve for x
    x = 5,560,872.87/2,565.73
  6. Step 6: Final answer
    x = 2,167.36

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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.