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Finding the Fourth Proportional to 2,967.71, 4,448.52 and 2,143.94

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Solution

The fourth proportional to 2,967.71, 4,448.52 and 2,143.94 is: 3,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.71 : 4,448.52 = 2,143.94 : x
  2. Step 2: Convert to fraction form
    2,967.71/4,448.52 = 2,143.94/x
  3. Step 3: Cross multiply
    2,967.71x = 4,448.52 × 2,143.94
  4. Step 4: Simplify right side
    2,967.71x = 9,537,337.73
  5. Step 5: Solve for x
    x = 9,537,337.73/2,967.71
  6. Step 6: Final answer
    x = 3,213.71

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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.