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Finding the Fourth Proportional to 1,806.76, 2,704.20 and 1,371.52

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Solution

The fourth proportional to 1,806.76, 2,704.20 and 1,371.52 is: 2,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.76 : 2,704.20 = 1,371.52 : x
  2. Step 2: Convert to fraction form
    1,806.76/2,704.20 = 1,371.52/x
  3. Step 3: Cross multiply
    1,806.76x = 2,704.20 × 1,371.52
  4. Step 4: Simplify right side
    1,806.76x = 3,708,864.38
  5. Step 5: Solve for x
    x = 3,708,864.38/1,806.76
  6. Step 6: Final answer
    x = 2,052.77

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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.