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Finding the Fourth Proportional to 2,577.56, 3,557.10 and 1,398.63

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Solution

The fourth proportional to 2,577.56, 3,557.10 and 1,398.63 is: 1,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.56 : 3,557.10 = 1,398.63 : x
  2. Step 2: Convert to fraction form
    2,577.56/3,557.10 = 1,398.63/x
  3. Step 3: Cross multiply
    2,577.56x = 3,557.10 × 1,398.63
  4. Step 4: Simplify right side
    2,577.56x = 4,975,057.48
  5. Step 5: Solve for x
    x = 4,975,057.48/2,577.56
  6. Step 6: Final answer
    x = 1,930.14

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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.