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Finding the Fourth Proportional to 1,401.62, 1,934.13 and 834.42

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Solution

The fourth proportional to 1,401.62, 1,934.13 and 834.42 is: 1,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.62 : 1,934.13 = 834.42 : x
  2. Step 2: Convert to fraction form
    1,401.62/1,934.13 = 834.42/x
  3. Step 3: Cross multiply
    1,401.62x = 1,934.13 × 834.42
  4. Step 4: Simplify right side
    1,401.62x = 1,613,876.75
  5. Step 5: Solve for x
    x = 1,613,876.75/1,401.62
  6. Step 6: Final answer
    x = 1,151.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.