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Finding the Fourth Proportional to 3,099.46, 4,649.33 and 991.31

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Solution

The fourth proportional to 3,099.46, 4,649.33 and 991.31 is: 1,487.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.46 : 4,649.33 = 991.31 : x
  2. Step 2: Convert to fraction form
    3,099.46/4,649.33 = 991.31/x
  3. Step 3: Cross multiply
    3,099.46x = 4,649.33 × 991.31
  4. Step 4: Simplify right side
    3,099.46x = 4,608,904.08
  5. Step 5: Solve for x
    x = 4,608,904.08/3,099.46
  6. Step 6: Final answer
    x = 1,487.00

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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.