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Finding the Fourth Proportional to 3,098.70, 4,649.19 and 1,433.62

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Solution

The fourth proportional to 3,098.70, 4,649.19 and 1,433.62 is: 2,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.70 : 4,649.19 = 1,433.62 : x
  2. Step 2: Convert to fraction form
    3,098.70/4,649.19 = 1,433.62/x
  3. Step 3: Cross multiply
    3,098.70x = 4,649.19 × 1,433.62
  4. Step 4: Simplify right side
    3,098.70x = 6,665,172.20
  5. Step 5: Solve for x
    x = 6,665,172.20/3,098.70
  6. Step 6: Final answer
    x = 2,150.96

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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.