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Finding the Fourth Proportional to 2,864.12, 3,950.24 and 1,869.72

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Solution

The fourth proportional to 2,864.12, 3,950.24 and 1,869.72 is: 2,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.12 : 3,950.24 = 1,869.72 : x
  2. Step 2: Convert to fraction form
    2,864.12/3,950.24 = 1,869.72/x
  3. Step 3: Cross multiply
    2,864.12x = 3,950.24 × 1,869.72
  4. Step 4: Simplify right side
    2,864.12x = 7,385,842.73
  5. Step 5: Solve for x
    x = 7,385,842.73/2,864.12
  6. Step 6: Final answer
    x = 2,578.75

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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.