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Finding the Fourth Proportional to 1,919, 2,877.90 and 686.24

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Solution

The fourth proportional to 1,919, 2,877.90 and 686.24 is: 1,029.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919 : 2,877.90 = 686.24 : x
  2. Step 2: Convert to fraction form
    1,919/2,877.90 = 686.24/x
  3. Step 3: Cross multiply
    1,919x = 2,877.90 × 686.24
  4. Step 4: Simplify right side
    1,919x = 1,974,930.10
  5. Step 5: Solve for x
    x = 1,974,930.10/1,919
  6. Step 6: Final answer
    x = 1,029.15

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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.