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Finding the Fourth Proportional to 1,780.75, 2,458.30 and 1,250.76

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Solution

The fourth proportional to 1,780.75, 2,458.30 and 1,250.76 is: 1,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.75 : 2,458.30 = 1,250.76 : x
  2. Step 2: Convert to fraction form
    1,780.75/2,458.30 = 1,250.76/x
  3. Step 3: Cross multiply
    1,780.75x = 2,458.30 × 1,250.76
  4. Step 4: Simplify right side
    1,780.75x = 3,074,737.92
  5. Step 5: Solve for x
    x = 3,074,737.92/1,780.75
  6. Step 6: Final answer
    x = 1,726.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.