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Finding the Fourth Proportional to 1,793.76, 2,474.20 and 1,085.14

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Solution

The fourth proportional to 1,793.76, 2,474.20 and 1,085.14 is: 1,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.76 : 2,474.20 = 1,085.14 : x
  2. Step 2: Convert to fraction form
    1,793.76/2,474.20 = 1,085.14/x
  3. Step 3: Cross multiply
    1,793.76x = 2,474.20 × 1,085.14
  4. Step 4: Simplify right side
    1,793.76x = 2,684,853.39
  5. Step 5: Solve for x
    x = 2,684,853.39/1,793.76
  6. Step 6: Final answer
    x = 1,496.77

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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.