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Finding the Fourth Proportional to 2,577.77, 3,557.34 and 1,398.86

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Solution

The fourth proportional to 2,577.77, 3,557.34 and 1,398.86 is: 1,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.77 : 3,557.34 = 1,398.86 : x
  2. Step 2: Convert to fraction form
    2,577.77/3,557.34 = 1,398.86/x
  3. Step 3: Cross multiply
    2,577.77x = 3,557.34 × 1,398.86
  4. Step 4: Simplify right side
    2,577.77x = 4,976,202.85
  5. Step 5: Solve for x
    x = 4,976,202.85/2,577.77
  6. Step 6: Final answer
    x = 1,930.43

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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.