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Finding the Fourth Proportional to 1,694.52, 2,543.40 and 1,046.52

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Solution

The fourth proportional to 1,694.52, 2,543.40 and 1,046.52 is: 1,570.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.52 : 2,543.40 = 1,046.52 : x
  2. Step 2: Convert to fraction form
    1,694.52/2,543.40 = 1,046.52/x
  3. Step 3: Cross multiply
    1,694.52x = 2,543.40 × 1,046.52
  4. Step 4: Simplify right side
    1,694.52x = 2,661,718.97
  5. Step 5: Solve for x
    x = 2,661,718.97/1,694.52
  6. Step 6: Final answer
    x = 1,570.78

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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.