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Finding the Fourth Proportional to 2,577.82, 3,557.29 and 1,398.87

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Solution

The fourth proportional to 2,577.82, 3,557.29 and 1,398.87 is: 1,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.82 : 3,557.29 = 1,398.87 : x
  2. Step 2: Convert to fraction form
    2,577.82/3,557.29 = 1,398.87/x
  3. Step 3: Cross multiply
    2,577.82x = 3,557.29 × 1,398.87
  4. Step 4: Simplify right side
    2,577.82x = 4,976,164.98
  5. Step 5: Solve for x
    x = 4,976,164.98/2,577.82
  6. Step 6: Final answer
    x = 1,930.38

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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.