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Finding the Fourth Proportional to 2,577.71, 3,557.41 and 1,443.48

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Solution

The fourth proportional to 2,577.71, 3,557.41 and 1,443.48 is: 1,992.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.71 : 3,557.41 = 1,443.48 : x
  2. Step 2: Convert to fraction form
    2,577.71/3,557.41 = 1,443.48/x
  3. Step 3: Cross multiply
    2,577.71x = 3,557.41 × 1,443.48
  4. Step 4: Simplify right side
    2,577.71x = 5,135,072.15
  5. Step 5: Solve for x
    x = 5,135,072.15/2,577.71
  6. Step 6: Final answer
    x = 1,992.11

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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.