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Finding the Fourth Proportional to 3,129.60, 4,694.58 and 1,049.88

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Solution

The fourth proportional to 3,129.60, 4,694.58 and 1,049.88 is: 1,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.60 : 4,694.58 = 1,049.88 : x
  2. Step 2: Convert to fraction form
    3,129.60/4,694.58 = 1,049.88/x
  3. Step 3: Cross multiply
    3,129.60x = 4,694.58 × 1,049.88
  4. Step 4: Simplify right side
    3,129.60x = 4,928,745.65
  5. Step 5: Solve for x
    x = 4,928,745.65/3,129.60
  6. Step 6: Final answer
    x = 1,574.88

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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.