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Finding the Fourth Proportional to 3,122.73, 4,307.43 and 1,863

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Solution

The fourth proportional to 3,122.73, 4,307.43 and 1,863 is: 2,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.73 : 4,307.43 = 1,863 : x
  2. Step 2: Convert to fraction form
    3,122.73/4,307.43 = 1,863/x
  3. Step 3: Cross multiply
    3,122.73x = 4,307.43 × 1,863
  4. Step 4: Simplify right side
    3,122.73x = 8,024,742.09
  5. Step 5: Solve for x
    x = 8,024,742.09/3,122.73
  6. Step 6: Final answer
    x = 2,569.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.