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Finding the Fourth Proportional to 1,793.67, 2,687.46 and 1,098.88

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Solution

The fourth proportional to 1,793.67, 2,687.46 and 1,098.88 is: 1,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.67 : 2,687.46 = 1,098.88 : x
  2. Step 2: Convert to fraction form
    1,793.67/2,687.46 = 1,098.88/x
  3. Step 3: Cross multiply
    1,793.67x = 2,687.46 × 1,098.88
  4. Step 4: Simplify right side
    1,793.67x = 2,953,196.04
  5. Step 5: Solve for x
    x = 2,953,196.04/1,793.67
  6. Step 6: Final answer
    x = 1,646.45

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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.