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Finding the Fourth Proportional to 2,517.78, 3,774 and 1,696.24

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Solution

The fourth proportional to 2,517.78, 3,774 and 1,696.24 is: 2,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.78 : 3,774 = 1,696.24 : x
  2. Step 2: Convert to fraction form
    2,517.78/3,774 = 1,696.24/x
  3. Step 3: Cross multiply
    2,517.78x = 3,774 × 1,696.24
  4. Step 4: Simplify right side
    2,517.78x = 6,401,590.89
  5. Step 5: Solve for x
    x = 6,401,590.89/2,517.78
  6. Step 6: Final answer
    x = 2,542.55

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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.