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Finding the Fourth Proportional to 2,452.60, 3,680.38 and 1,065.92

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Solution

The fourth proportional to 2,452.60, 3,680.38 and 1,065.92 is: 1,599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.60 : 3,680.38 = 1,065.92 : x
  2. Step 2: Convert to fraction form
    2,452.60/3,680.38 = 1,065.92/x
  3. Step 3: Cross multiply
    2,452.60x = 3,680.38 × 1,065.92
  4. Step 4: Simplify right side
    2,452.60x = 3,922,990.65
  5. Step 5: Solve for x
    x = 3,922,990.65/2,452.60
  6. Step 6: Final answer
    x = 1,599.52

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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.