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Finding the Fourth Proportional to 2,049.18, 3,069.66 and 952.02

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Solution

The fourth proportional to 2,049.18, 3,069.66 and 952.02 is: 1,426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.18 : 3,069.66 = 952.02 : x
  2. Step 2: Convert to fraction form
    2,049.18/3,069.66 = 952.02/x
  3. Step 3: Cross multiply
    2,049.18x = 3,069.66 × 952.02
  4. Step 4: Simplify right side
    2,049.18x = 2,922,377.71
  5. Step 5: Solve for x
    x = 2,922,377.71/2,049.18
  6. Step 6: Final answer
    x = 1,426.12

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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.