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Finding the Fourth Proportional to 2,382.57, 3,572.60 and 920.25

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Solution

The fourth proportional to 2,382.57, 3,572.60 and 920.25 is: 1,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.57 : 3,572.60 = 920.25 : x
  2. Step 2: Convert to fraction form
    2,382.57/3,572.60 = 920.25/x
  3. Step 3: Cross multiply
    2,382.57x = 3,572.60 × 920.25
  4. Step 4: Simplify right side
    2,382.57x = 3,287,680.55
  5. Step 5: Solve for x
    x = 3,287,680.55/2,382.57
  6. Step 6: Final answer
    x = 1,379.89

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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.