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Finding the Fourth Proportional to 2,577.74, 3,557.28 and 1,398.82

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Solution

The fourth proportional to 2,577.74, 3,557.28 and 1,398.82 is: 1,930.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.74 : 3,557.28 = 1,398.82 : x
  2. Step 2: Convert to fraction form
    2,577.74/3,557.28 = 1,398.82/x
  3. Step 3: Cross multiply
    2,577.74x = 3,557.28 × 1,398.82
  4. Step 4: Simplify right side
    2,577.74x = 4,975,994.41
  5. Step 5: Solve for x
    x = 4,975,994.41/2,577.74
  6. Step 6: Final answer
    x = 1,930.37

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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.