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Finding the Fourth Proportional to 2,952.54, 4,429.22 and 872.71

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Solution

The fourth proportional to 2,952.54, 4,429.22 and 872.71 is: 1,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.54 : 4,429.22 = 872.71 : x
  2. Step 2: Convert to fraction form
    2,952.54/4,429.22 = 872.71/x
  3. Step 3: Cross multiply
    2,952.54x = 4,429.22 × 872.71
  4. Step 4: Simplify right side
    2,952.54x = 3,865,409.15
  5. Step 5: Solve for x
    x = 3,865,409.15/2,952.54
  6. Step 6: Final answer
    x = 1,309.18

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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.