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Finding the Fourth Proportional to 1,427.75, 2,141.61 and 734.61

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Solution

The fourth proportional to 1,427.75, 2,141.61 and 734.61 is: 1,101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.75 : 2,141.61 = 734.61 : x
  2. Step 2: Convert to fraction form
    1,427.75/2,141.61 = 734.61/x
  3. Step 3: Cross multiply
    1,427.75x = 2,141.61 × 734.61
  4. Step 4: Simplify right side
    1,427.75x = 1,573,248.12
  5. Step 5: Solve for x
    x = 1,573,248.12/1,427.75
  6. Step 6: Final answer
    x = 1,101.91

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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.