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Finding the Fourth Proportional to 2,577.76, 3,557.32 and 1,398.83

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Solution

The fourth proportional to 2,577.76, 3,557.32 and 1,398.83 is: 1,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.76 : 3,557.32 = 1,398.83 : x
  2. Step 2: Convert to fraction form
    2,577.76/3,557.32 = 1,398.83/x
  3. Step 3: Cross multiply
    2,577.76x = 3,557.32 × 1,398.83
  4. Step 4: Simplify right side
    2,577.76x = 4,976,083.31
  5. Step 5: Solve for x
    x = 4,976,083.31/2,577.76
  6. Step 6: Final answer
    x = 1,930.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.