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Finding the Fourth Proportional to 2,199.92, 3,035.04 and 1,414.40

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Solution

The fourth proportional to 2,199.92, 3,035.04 and 1,414.40 is: 1,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.92 : 3,035.04 = 1,414.40 : x
  2. Step 2: Convert to fraction form
    2,199.92/3,035.04 = 1,414.40/x
  3. Step 3: Cross multiply
    2,199.92x = 3,035.04 × 1,414.40
  4. Step 4: Simplify right side
    2,199.92x = 4,292,760.58
  5. Step 5: Solve for x
    x = 4,292,760.58/2,199.92
  6. Step 6: Final answer
    x = 1,951.33

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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.