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Finding the Fourth Proportional to 2,042.92, 3,066.78 and 1,221.64

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Solution

The fourth proportional to 2,042.92, 3,066.78 and 1,221.64 is: 1,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.92 : 3,066.78 = 1,221.64 : x
  2. Step 2: Convert to fraction form
    2,042.92/3,066.78 = 1,221.64/x
  3. Step 3: Cross multiply
    2,042.92x = 3,066.78 × 1,221.64
  4. Step 4: Simplify right side
    2,042.92x = 3,746,501.12
  5. Step 5: Solve for x
    x = 3,746,501.12/2,042.92
  6. Step 6: Final answer
    x = 1,833.90

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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.