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Finding the Fourth Proportional to 2,950.75, 4,426.71 and 870.79

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Solution

The fourth proportional to 2,950.75, 4,426.71 and 870.79 is: 1,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.75 : 4,426.71 = 870.79 : x
  2. Step 2: Convert to fraction form
    2,950.75/4,426.71 = 870.79/x
  3. Step 3: Cross multiply
    2,950.75x = 4,426.71 × 870.79
  4. Step 4: Simplify right side
    2,950.75x = 3,854,734.80
  5. Step 5: Solve for x
    x = 3,854,734.80/2,950.75
  6. Step 6: Final answer
    x = 1,306.36

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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.