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Finding the Fourth Proportional to 2,577.71, 3,557.43 and 1,458.77

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Solution

The fourth proportional to 2,577.71, 3,557.43 and 1,458.77 is: 2,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.71 : 3,557.43 = 1,458.77 : x
  2. Step 2: Convert to fraction form
    2,577.71/3,557.43 = 1,458.77/x
  3. Step 3: Cross multiply
    2,577.71x = 3,557.43 × 1,458.77
  4. Step 4: Simplify right side
    2,577.71x = 5,189,454.37
  5. Step 5: Solve for x
    x = 5,189,454.37/2,577.71
  6. Step 6: Final answer
    x = 2,013.21

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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.