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Finding the Fourth Proportional to 1,773.75, 2,448.69 and 1,250.70

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Solution

The fourth proportional to 1,773.75, 2,448.69 and 1,250.70 is: 1,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.75 : 2,448.69 = 1,250.70 : x
  2. Step 2: Convert to fraction form
    1,773.75/2,448.69 = 1,250.70/x
  3. Step 3: Cross multiply
    1,773.75x = 2,448.69 × 1,250.70
  4. Step 4: Simplify right side
    1,773.75x = 3,062,576.58
  5. Step 5: Solve for x
    x = 3,062,576.58/1,773.75
  6. Step 6: Final answer
    x = 1,726.61

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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.