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Finding the Fourth Proportional to 2,577.56, 3,866.64 and 1,932.39

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Solution

The fourth proportional to 2,577.56, 3,866.64 and 1,932.39 is: 2,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.56 : 3,866.64 = 1,932.39 : x
  2. Step 2: Convert to fraction form
    2,577.56/3,866.64 = 1,932.39/x
  3. Step 3: Cross multiply
    2,577.56x = 3,866.64 × 1,932.39
  4. Step 4: Simplify right side
    2,577.56x = 7,471,849.22
  5. Step 5: Solve for x
    x = 7,471,849.22/2,577.56
  6. Step 6: Final answer
    x = 2,898.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.