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Finding the Fourth Proportional to 3,103.92, 4,655.40 and 912.24

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Solution

The fourth proportional to 3,103.92, 4,655.40 and 912.24 is: 1,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.92 : 4,655.40 = 912.24 : x
  2. Step 2: Convert to fraction form
    3,103.92/4,655.40 = 912.24/x
  3. Step 3: Cross multiply
    3,103.92x = 4,655.40 × 912.24
  4. Step 4: Simplify right side
    3,103.92x = 4,246,842.10
  5. Step 5: Solve for x
    x = 4,246,842.10/3,103.92
  6. Step 6: Final answer
    x = 1,368.22

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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.