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Finding the Fourth Proportional to 1,876.15, 2,814.21 and 781.28

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Solution

The fourth proportional to 1,876.15, 2,814.21 and 781.28 is: 1,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.15 : 2,814.21 = 781.28 : x
  2. Step 2: Convert to fraction form
    1,876.15/2,814.21 = 781.28/x
  3. Step 3: Cross multiply
    1,876.15x = 2,814.21 × 781.28
  4. Step 4: Simplify right side
    1,876.15x = 2,198,685.99
  5. Step 5: Solve for x
    x = 2,198,685.99/1,876.15
  6. Step 6: Final answer
    x = 1,171.91

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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.