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Finding the Fourth Proportional to 1,902.42, 2,854.17 and 1,382.94

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Solution

The fourth proportional to 1,902.42, 2,854.17 and 1,382.94 is: 2,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.42 : 2,854.17 = 1,382.94 : x
  2. Step 2: Convert to fraction form
    1,902.42/2,854.17 = 1,382.94/x
  3. Step 3: Cross multiply
    1,902.42x = 2,854.17 × 1,382.94
  4. Step 4: Simplify right side
    1,902.42x = 3,947,145.86
  5. Step 5: Solve for x
    x = 3,947,145.86/1,902.42
  6. Step 6: Final answer
    x = 2,074.80

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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.