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Finding the Fourth Proportional to 1,967.14, 2,950.37 and 1,278.69

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Solution

The fourth proportional to 1,967.14, 2,950.37 and 1,278.69 is: 1,917.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.14 : 2,950.37 = 1,278.69 : x
  2. Step 2: Convert to fraction form
    1,967.14/2,950.37 = 1,278.69/x
  3. Step 3: Cross multiply
    1,967.14x = 2,950.37 × 1,278.69
  4. Step 4: Simplify right side
    1,967.14x = 3,772,603.15
  5. Step 5: Solve for x
    x = 3,772,603.15/1,967.14
  6. Step 6: Final answer
    x = 1,917.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.