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Finding the Fourth Proportional to 1,754.92, 2,630.55 and 781.70

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Solution

The fourth proportional to 1,754.92, 2,630.55 and 781.70 is: 1,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.92 : 2,630.55 = 781.70 : x
  2. Step 2: Convert to fraction form
    1,754.92/2,630.55 = 781.70/x
  3. Step 3: Cross multiply
    1,754.92x = 2,630.55 × 781.70
  4. Step 4: Simplify right side
    1,754.92x = 2,056,300.94
  5. Step 5: Solve for x
    x = 2,056,300.94/1,754.92
  6. Step 6: Final answer
    x = 1,171.73

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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.