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Finding the Fourth Proportional to 1,951.66, 2,928.89 and 781.57

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Solution

The fourth proportional to 1,951.66, 2,928.89 and 781.57 is: 1,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.66 : 2,928.89 = 781.57 : x
  2. Step 2: Convert to fraction form
    1,951.66/2,928.89 = 781.57/x
  3. Step 3: Cross multiply
    1,951.66x = 2,928.89 × 781.57
  4. Step 4: Simplify right side
    1,951.66x = 2,289,132.56
  5. Step 5: Solve for x
    x = 2,289,132.56/1,951.66
  6. Step 6: Final answer
    x = 1,172.92

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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.