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Finding the Fourth Proportional to 2,577.92, 3,557.49 and 1,398.96

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Solution

The fourth proportional to 2,577.92, 3,557.49 and 1,398.96 is: 1,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.92 : 3,557.49 = 1,398.96 : x
  2. Step 2: Convert to fraction form
    2,577.92/3,557.49 = 1,398.96/x
  3. Step 3: Cross multiply
    2,577.92x = 3,557.49 × 1,398.96
  4. Step 4: Simplify right side
    2,577.92x = 4,976,786.21
  5. Step 5: Solve for x
    x = 4,976,786.21/2,577.92
  6. Step 6: Final answer
    x = 1,930.55

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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.