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Finding the Fourth Proportional to 2,293.04, 3,439.79 and 832.31

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Solution

The fourth proportional to 2,293.04, 3,439.79 and 832.31 is: 1,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.04 : 3,439.79 = 832.31 : x
  2. Step 2: Convert to fraction form
    2,293.04/3,439.79 = 832.31/x
  3. Step 3: Cross multiply
    2,293.04x = 3,439.79 × 832.31
  4. Step 4: Simplify right side
    2,293.04x = 2,862,966.27
  5. Step 5: Solve for x
    x = 2,862,966.27/2,293.04
  6. Step 6: Final answer
    x = 1,248.54

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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.