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Finding the Fourth Proportional to 1,877.87, 2,817 and 781.62

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Solution

The fourth proportional to 1,877.87, 2,817 and 781.62 is: 1,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.87 : 2,817 = 781.62 : x
  2. Step 2: Convert to fraction form
    1,877.87/2,817 = 781.62/x
  3. Step 3: Cross multiply
    1,877.87x = 2,817 × 781.62
  4. Step 4: Simplify right side
    1,877.87x = 2,201,823.54
  5. Step 5: Solve for x
    x = 2,201,823.54/1,877.87
  6. Step 6: Final answer
    x = 1,172.51

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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.