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Finding the Fourth Proportional to 3,129.21, 4,694.57 and 1,049.22

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Solution

The fourth proportional to 3,129.21, 4,694.57 and 1,049.22 is: 1,574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.21 : 4,694.57 = 1,049.22 : x
  2. Step 2: Convert to fraction form
    3,129.21/4,694.57 = 1,049.22/x
  3. Step 3: Cross multiply
    3,129.21x = 4,694.57 × 1,049.22
  4. Step 4: Simplify right side
    3,129.21x = 4,925,631.49
  5. Step 5: Solve for x
    x = 4,925,631.49/3,129.21
  6. Step 6: Final answer
    x = 1,574.08

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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.