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Finding the Fourth Proportional to 2,042.81, 3,062.39 and 945.66

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Solution

The fourth proportional to 2,042.81, 3,062.39 and 945.66 is: 1,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.81 : 3,062.39 = 945.66 : x
  2. Step 2: Convert to fraction form
    2,042.81/3,062.39 = 945.66/x
  3. Step 3: Cross multiply
    2,042.81x = 3,062.39 × 945.66
  4. Step 4: Simplify right side
    2,042.81x = 2,895,979.73
  5. Step 5: Solve for x
    x = 2,895,979.73/2,042.81
  6. Step 6: Final answer
    x = 1,417.65

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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.