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Finding the Fourth Proportional to 2,167.34, 3,251.88 and 1,071.68

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Solution

The fourth proportional to 2,167.34, 3,251.88 and 1,071.68 is: 1,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.34 : 3,251.88 = 1,071.68 : x
  2. Step 2: Convert to fraction form
    2,167.34/3,251.88 = 1,071.68/x
  3. Step 3: Cross multiply
    2,167.34x = 3,251.88 × 1,071.68
  4. Step 4: Simplify right side
    2,167.34x = 3,484,974.76
  5. Step 5: Solve for x
    x = 3,484,974.76/2,167.34
  6. Step 6: Final answer
    x = 1,607.95

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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.