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Finding the Fourth Proportional to 2,577.57, 3,557.07 and 1,458.51

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Solution

The fourth proportional to 2,577.57, 3,557.07 and 1,458.51 is: 2,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.57 : 3,557.07 = 1,458.51 : x
  2. Step 2: Convert to fraction form
    2,577.57/3,557.07 = 1,458.51/x
  3. Step 3: Cross multiply
    2,577.57x = 3,557.07 × 1,458.51
  4. Step 4: Simplify right side
    2,577.57x = 5,188,022.17
  5. Step 5: Solve for x
    x = 5,188,022.17/2,577.57
  6. Step 6: Final answer
    x = 2,012.76

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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.