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Finding the Fourth Proportional to 1,759.50, 2,424.78 and 1,261.29

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Solution

The fourth proportional to 1,759.50, 2,424.78 and 1,261.29 is: 1,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.50 : 2,424.78 = 1,261.29 : x
  2. Step 2: Convert to fraction form
    1,759.50/2,424.78 = 1,261.29/x
  3. Step 3: Cross multiply
    1,759.50x = 2,424.78 × 1,261.29
  4. Step 4: Simplify right side
    1,759.50x = 3,058,350.77
  5. Step 5: Solve for x
    x = 3,058,350.77/1,759.50
  6. Step 6: Final answer
    x = 1,738.19

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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.