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Finding the Fourth Proportional to 2,952.57, 4,429.05 and 872.73

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Solution

The fourth proportional to 2,952.57, 4,429.05 and 872.73 is: 1,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.57 : 4,429.05 = 872.73 : x
  2. Step 2: Convert to fraction form
    2,952.57/4,429.05 = 872.73/x
  3. Step 3: Cross multiply
    2,952.57x = 4,429.05 × 872.73
  4. Step 4: Simplify right side
    2,952.57x = 3,865,364.81
  5. Step 5: Solve for x
    x = 3,865,364.81/2,952.57
  6. Step 6: Final answer
    x = 1,309.15

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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.