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Finding the Fourth Proportional to 2,690.43, 4,034.62 and 1,046.78

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Solution

The fourth proportional to 2,690.43, 4,034.62 and 1,046.78 is: 1,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.43 : 4,034.62 = 1,046.78 : x
  2. Step 2: Convert to fraction form
    2,690.43/4,034.62 = 1,046.78/x
  3. Step 3: Cross multiply
    2,690.43x = 4,034.62 × 1,046.78
  4. Step 4: Simplify right side
    2,690.43x = 4,223,359.52
  5. Step 5: Solve for x
    x = 4,223,359.52/2,690.43
  6. Step 6: Final answer
    x = 1,569.77

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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.