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Finding the Fourth Proportional to 1,517, 2,095.26 and 1,257.80

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Solution

The fourth proportional to 1,517, 2,095.26 and 1,257.80 is: 1,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517 : 2,095.26 = 1,257.80 : x
  2. Step 2: Convert to fraction form
    1,517/2,095.26 = 1,257.80/x
  3. Step 3: Cross multiply
    1,517x = 2,095.26 × 1,257.80
  4. Step 4: Simplify right side
    1,517x = 2,635,418.03
  5. Step 5: Solve for x
    x = 2,635,418.03/1,517
  6. Step 6: Final answer
    x = 1,737.26

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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.