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Finding the Fourth Proportional to 2,406.92, 3,612.20 and 1,109.30

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Solution

The fourth proportional to 2,406.92, 3,612.20 and 1,109.30 is: 1,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.92 : 3,612.20 = 1,109.30 : x
  2. Step 2: Convert to fraction form
    2,406.92/3,612.20 = 1,109.30/x
  3. Step 3: Cross multiply
    2,406.92x = 3,612.20 × 1,109.30
  4. Step 4: Simplify right side
    2,406.92x = 4,006,989.85
  5. Step 5: Solve for x
    x = 4,006,989.85/2,406.92
  6. Step 6: Final answer
    x = 1,664.78

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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.