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Finding the Fourth Proportional to 1,950.42, 2,689.83 and 1,287.95

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Solution

The fourth proportional to 1,950.42, 2,689.83 and 1,287.95 is: 1,776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.42 : 2,689.83 = 1,287.95 : x
  2. Step 2: Convert to fraction form
    1,950.42/2,689.83 = 1,287.95/x
  3. Step 3: Cross multiply
    1,950.42x = 2,689.83 × 1,287.95
  4. Step 4: Simplify right side
    1,950.42x = 3,464,353.10
  5. Step 5: Solve for x
    x = 3,464,353.10/1,950.42
  6. Step 6: Final answer
    x = 1,776.21

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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.