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Finding the Fourth Proportional to 3,149.06, 4,724.14 and 1,299.16

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Solution

The fourth proportional to 3,149.06, 4,724.14 and 1,299.16 is: 1,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.06 : 4,724.14 = 1,299.16 : x
  2. Step 2: Convert to fraction form
    3,149.06/4,724.14 = 1,299.16/x
  3. Step 3: Cross multiply
    3,149.06x = 4,724.14 × 1,299.16
  4. Step 4: Simplify right side
    3,149.06x = 6,137,392.24
  5. Step 5: Solve for x
    x = 6,137,392.24/3,149.06
  6. Step 6: Final answer
    x = 1,948.96

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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.