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Finding the Fourth Proportional to 1,423.46, 1,964.82 and 834.19

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Solution

The fourth proportional to 1,423.46, 1,964.82 and 834.19 is: 1,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.46 : 1,964.82 = 834.19 : x
  2. Step 2: Convert to fraction form
    1,423.46/1,964.82 = 834.19/x
  3. Step 3: Cross multiply
    1,423.46x = 1,964.82 × 834.19
  4. Step 4: Simplify right side
    1,423.46x = 1,639,019.20
  5. Step 5: Solve for x
    x = 1,639,019.20/1,423.46
  6. Step 6: Final answer
    x = 1,151.43

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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.