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Finding the Fourth Proportional to 1,472.43, 2,031.67 and 834.26

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Solution

The fourth proportional to 1,472.43, 2,031.67 and 834.26 is: 1,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.43 : 2,031.67 = 834.26 : x
  2. Step 2: Convert to fraction form
    1,472.43/2,031.67 = 834.26/x
  3. Step 3: Cross multiply
    1,472.43x = 2,031.67 × 834.26
  4. Step 4: Simplify right side
    1,472.43x = 1,694,927.21
  5. Step 5: Solve for x
    x = 1,694,927.21/1,472.43
  6. Step 6: Final answer
    x = 1,151.11

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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.