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Finding the Fourth Proportional to 4,098.70, 6,149.49 and 1,325.46

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Solution

The fourth proportional to 4,098.70, 6,149.49 and 1,325.46 is: 1,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.70 : 6,149.49 = 1,325.46 : x
  2. Step 2: Convert to fraction form
    4,098.70/6,149.49 = 1,325.46/x
  3. Step 3: Cross multiply
    4,098.70x = 6,149.49 × 1,325.46
  4. Step 4: Simplify right side
    4,098.70x = 8,150,921.11
  5. Step 5: Solve for x
    x = 8,150,921.11/4,098.70
  6. Step 6: Final answer
    x = 1,988.66

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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.