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Finding the Fourth Proportional to 1,932.24, 2,665.92 and 1,146.24

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Solution

The fourth proportional to 1,932.24, 2,665.92 and 1,146.24 is: 1,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.24 : 2,665.92 = 1,146.24 : x
  2. Step 2: Convert to fraction form
    1,932.24/2,665.92 = 1,146.24/x
  3. Step 3: Cross multiply
    1,932.24x = 2,665.92 × 1,146.24
  4. Step 4: Simplify right side
    1,932.24x = 3,055,784.14
  5. Step 5: Solve for x
    x = 3,055,784.14/1,932.24
  6. Step 6: Final answer
    x = 1,581.47

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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.