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Finding the Fourth Proportional to 2,932.27, 4,398.56 and 741.02

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Solution

The fourth proportional to 2,932.27, 4,398.56 and 741.02 is: 1,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.27 : 4,398.56 = 741.02 : x
  2. Step 2: Convert to fraction form
    2,932.27/4,398.56 = 741.02/x
  3. Step 3: Cross multiply
    2,932.27x = 4,398.56 × 741.02
  4. Step 4: Simplify right side
    2,932.27x = 3,259,426.92
  5. Step 5: Solve for x
    x = 3,259,426.92/2,932.27
  6. Step 6: Final answer
    x = 1,111.57

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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.