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Finding the Fourth Proportional to 2,589.86, 3,866.01 and 2,397.15

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Solution

The fourth proportional to 2,589.86, 3,866.01 and 2,397.15 is: 3,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.86 : 3,866.01 = 2,397.15 : x
  2. Step 2: Convert to fraction form
    2,589.86/3,866.01 = 2,397.15/x
  3. Step 3: Cross multiply
    2,589.86x = 3,866.01 × 2,397.15
  4. Step 4: Simplify right side
    2,589.86x = 9,267,405.87
  5. Step 5: Solve for x
    x = 9,267,405.87/2,589.86
  6. Step 6: Final answer
    x = 3,578.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.