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Finding the Fourth Proportional to 1,423.92, 1,965.06 and 834.42

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Solution

The fourth proportional to 1,423.92, 1,965.06 and 834.42 is: 1,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.92 : 1,965.06 = 834.42 : x
  2. Step 2: Convert to fraction form
    1,423.92/1,965.06 = 834.42/x
  3. Step 3: Cross multiply
    1,423.92x = 1,965.06 × 834.42
  4. Step 4: Simplify right side
    1,423.92x = 1,639,685.37
  5. Step 5: Solve for x
    x = 1,639,685.37/1,423.92
  6. Step 6: Final answer
    x = 1,151.53

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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.