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Finding the Fourth Proportional to 1,838.46, 2,754.24 and 912.66

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Solution

The fourth proportional to 1,838.46, 2,754.24 and 912.66 is: 1,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.46 : 2,754.24 = 912.66 : x
  2. Step 2: Convert to fraction form
    1,838.46/2,754.24 = 912.66/x
  3. Step 3: Cross multiply
    1,838.46x = 2,754.24 × 912.66
  4. Step 4: Simplify right side
    1,838.46x = 2,513,684.68
  5. Step 5: Solve for x
    x = 2,513,684.68/1,838.46
  6. Step 6: Final answer
    x = 1,367.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.