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Finding the Fourth Proportional to 1,378.80, 2,062.44 and 1,103.76

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Solution

The fourth proportional to 1,378.80, 2,062.44 and 1,103.76 is: 1,651.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.80 : 2,062.44 = 1,103.76 : x
  2. Step 2: Convert to fraction form
    1,378.80/2,062.44 = 1,103.76/x
  3. Step 3: Cross multiply
    1,378.80x = 2,062.44 × 1,103.76
  4. Step 4: Simplify right side
    1,378.80x = 2,276,438.77
  5. Step 5: Solve for x
    x = 2,276,438.77/1,378.80
  6. Step 6: Final answer
    x = 1,651.03

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