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Finding the Fourth Proportional to 1,378.52, 2,063.28 and 1,150.94

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Solution

The fourth proportional to 1,378.52, 2,063.28 and 1,150.94 is: 1,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.52 : 2,063.28 = 1,150.94 : x
  2. Step 2: Convert to fraction form
    1,378.52/2,063.28 = 1,150.94/x
  3. Step 3: Cross multiply
    1,378.52x = 2,063.28 × 1,150.94
  4. Step 4: Simplify right side
    1,378.52x = 2,374,711.48
  5. Step 5: Solve for x
    x = 2,374,711.48/1,378.52
  6. Step 6: Final answer
    x = 1,722.65

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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.