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Finding the Fourth Proportional to 2,577.76, 3,557.48 and 1,458.32

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Solution

The fourth proportional to 2,577.76, 3,557.48 and 1,458.32 is: 2,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.76 : 3,557.48 = 1,458.32 : x
  2. Step 2: Convert to fraction form
    2,577.76/3,557.48 = 1,458.32/x
  3. Step 3: Cross multiply
    2,577.76x = 3,557.48 × 1,458.32
  4. Step 4: Simplify right side
    2,577.76x = 5,187,944.23
  5. Step 5: Solve for x
    x = 5,187,944.23/2,577.76
  6. Step 6: Final answer
    x = 2,012.58

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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.