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Finding the Fourth Proportional to 1,378.72, 2,065.67 and 1,149.09

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Solution

The fourth proportional to 1,378.72, 2,065.67 and 1,149.09 is: 1,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.72 : 2,065.67 = 1,149.09 : x
  2. Step 2: Convert to fraction form
    1,378.72/2,065.67 = 1,149.09/x
  3. Step 3: Cross multiply
    1,378.72x = 2,065.67 × 1,149.09
  4. Step 4: Simplify right side
    1,378.72x = 2,373,630.41
  5. Step 5: Solve for x
    x = 2,373,630.41/1,378.72
  6. Step 6: Final answer
    x = 1,721.62

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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.