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Finding the Fourth Proportional to 1,978.25, 2,950.17 and 1,951.77

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Solution

The fourth proportional to 1,978.25, 2,950.17 and 1,951.77 is: 2,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.25 : 2,950.17 = 1,951.77 : x
  2. Step 2: Convert to fraction form
    1,978.25/2,950.17 = 1,951.77/x
  3. Step 3: Cross multiply
    1,978.25x = 2,950.17 × 1,951.77
  4. Step 4: Simplify right side
    1,978.25x = 5,758,053.30
  5. Step 5: Solve for x
    x = 5,758,053.30/1,978.25
  6. Step 6: Final answer
    x = 2,910.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.