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Finding the Fourth Proportional to 3,073.14, 4,609.37 and 1,098.70

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Solution

The fourth proportional to 3,073.14, 4,609.37 and 1,098.70 is: 1,647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.14 : 4,609.37 = 1,098.70 : x
  2. Step 2: Convert to fraction form
    3,073.14/4,609.37 = 1,098.70/x
  3. Step 3: Cross multiply
    3,073.14x = 4,609.37 × 1,098.70
  4. Step 4: Simplify right side
    3,073.14x = 5,064,306.04
  5. Step 5: Solve for x
    x = 5,064,306.04/3,073.14
  6. Step 6: Final answer
    x = 1,647.93

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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.