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Finding the Fourth Proportional to 2,519.75, 3,781.14 and 877.45

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Solution

The fourth proportional to 2,519.75, 3,781.14 and 877.45 is: 1,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.75 : 3,781.14 = 877.45 : x
  2. Step 2: Convert to fraction form
    2,519.75/3,781.14 = 877.45/x
  3. Step 3: Cross multiply
    2,519.75x = 3,781.14 × 877.45
  4. Step 4: Simplify right side
    2,519.75x = 3,317,769.78
  5. Step 5: Solve for x
    x = 3,317,769.78/2,519.75
  6. Step 6: Final answer
    x = 1,316.70

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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.