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Finding the Fourth Proportional to 2,482.57, 3,725.33 and 922.71

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Solution

The fourth proportional to 2,482.57, 3,725.33 and 922.71 is: 1,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.57 : 3,725.33 = 922.71 : x
  2. Step 2: Convert to fraction form
    2,482.57/3,725.33 = 922.71/x
  3. Step 3: Cross multiply
    2,482.57x = 3,725.33 × 922.71
  4. Step 4: Simplify right side
    2,482.57x = 3,437,399.24
  5. Step 5: Solve for x
    x = 3,437,399.24/2,482.57
  6. Step 6: Final answer
    x = 1,384.61

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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.