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Finding the Fourth Proportional to 2,616.89, 3,920.15 and 1,577.17

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Solution

The fourth proportional to 2,616.89, 3,920.15 and 1,577.17 is: 2,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.89 : 3,920.15 = 1,577.17 : x
  2. Step 2: Convert to fraction form
    2,616.89/3,920.15 = 1,577.17/x
  3. Step 3: Cross multiply
    2,616.89x = 3,920.15 × 1,577.17
  4. Step 4: Simplify right side
    2,616.89x = 6,182,715.49
  5. Step 5: Solve for x
    x = 6,182,715.49/2,616.89
  6. Step 6: Final answer
    x = 2,362.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.