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Finding the Fourth Proportional to 2,577.88, 3,557.49 and 1,398.95

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Solution

The fourth proportional to 2,577.88, 3,557.49 and 1,398.95 is: 1,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.88 : 3,557.49 = 1,398.95 : x
  2. Step 2: Convert to fraction form
    2,577.88/3,557.49 = 1,398.95/x
  3. Step 3: Cross multiply
    2,577.88x = 3,557.49 × 1,398.95
  4. Step 4: Simplify right side
    2,577.88x = 4,976,768.82
  5. Step 5: Solve for x
    x = 4,976,768.82/2,577.88
  6. Step 6: Final answer
    x = 1,930.56

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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.