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Finding the Fourth Proportional to 2,834.18, 4,251.48 and 886.38

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Solution

The fourth proportional to 2,834.18, 4,251.48 and 886.38 is: 1,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.18 : 4,251.48 = 886.38 : x
  2. Step 2: Convert to fraction form
    2,834.18/4,251.48 = 886.38/x
  3. Step 3: Cross multiply
    2,834.18x = 4,251.48 × 886.38
  4. Step 4: Simplify right side
    2,834.18x = 3,768,426.84
  5. Step 5: Solve for x
    x = 3,768,426.84/2,834.18
  6. Step 6: Final answer
    x = 1,329.64

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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.