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Finding the Fourth Proportional to 2,934.86, 4,401.56 and 854.42

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Solution

The fourth proportional to 2,934.86, 4,401.56 and 854.42 is: 1,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.86 : 4,401.56 = 854.42 : x
  2. Step 2: Convert to fraction form
    2,934.86/4,401.56 = 854.42/x
  3. Step 3: Cross multiply
    2,934.86x = 4,401.56 × 854.42
  4. Step 4: Simplify right side
    2,934.86x = 3,760,780.90
  5. Step 5: Solve for x
    x = 3,760,780.90/2,934.86
  6. Step 6: Final answer
    x = 1,281.42

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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.