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Finding the Fourth Proportional to 1,614.71, 2,228.26 and 906.57

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Solution

The fourth proportional to 1,614.71, 2,228.26 and 906.57 is: 1,251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.71 : 2,228.26 = 906.57 : x
  2. Step 2: Convert to fraction form
    1,614.71/2,228.26 = 906.57/x
  3. Step 3: Cross multiply
    1,614.71x = 2,228.26 × 906.57
  4. Step 4: Simplify right side
    1,614.71x = 2,020,073.67
  5. Step 5: Solve for x
    x = 2,020,073.67/1,614.71
  6. Step 6: Final answer
    x = 1,251.04

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Why These Related Problems?

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