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Finding the Fourth Proportional to 2,287.91, 3,429.42 and 971.39

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Solution

The fourth proportional to 2,287.91, 3,429.42 and 971.39 is: 1,456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.91 : 3,429.42 = 971.39 : x
  2. Step 2: Convert to fraction form
    2,287.91/3,429.42 = 971.39/x
  3. Step 3: Cross multiply
    2,287.91x = 3,429.42 × 971.39
  4. Step 4: Simplify right side
    2,287.91x = 3,331,287.15
  5. Step 5: Solve for x
    x = 3,331,287.15/2,287.91
  6. Step 6: Final answer
    x = 1,456.04

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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.