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Finding the Fourth Proportional to 2,934.38, 4,401.86 and 854.41

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Solution

The fourth proportional to 2,934.38, 4,401.86 and 854.41 is: 1,281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.38 : 4,401.86 = 854.41 : x
  2. Step 2: Convert to fraction form
    2,934.38/4,401.86 = 854.41/x
  3. Step 3: Cross multiply
    2,934.38x = 4,401.86 × 854.41
  4. Step 4: Simplify right side
    2,934.38x = 3,760,984.33
  5. Step 5: Solve for x
    x = 3,760,984.33/2,934.38
  6. Step 6: Final answer
    x = 1,281.70

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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.