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Finding the Fourth Proportional to 2,693.95, 4,044.31 and 2,569.31

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Solution

The fourth proportional to 2,693.95, 4,044.31 and 2,569.31 is: 3,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.95 : 4,044.31 = 2,569.31 : x
  2. Step 2: Convert to fraction form
    2,693.95/4,044.31 = 2,569.31/x
  3. Step 3: Cross multiply
    2,693.95x = 4,044.31 × 2,569.31
  4. Step 4: Simplify right side
    2,693.95x = 10,391,086.13
  5. Step 5: Solve for x
    x = 10,391,086.13/2,693.95
  6. Step 6: Final answer
    x = 3,857.19

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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.