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Finding the Fourth Proportional to 2,287.41, 3,432.37 and 970.96

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Solution

The fourth proportional to 2,287.41, 3,432.37 and 970.96 is: 1,456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.41 : 3,432.37 = 970.96 : x
  2. Step 2: Convert to fraction form
    2,287.41/3,432.37 = 970.96/x
  3. Step 3: Cross multiply
    2,287.41x = 3,432.37 × 970.96
  4. Step 4: Simplify right side
    2,287.41x = 3,332,693.98
  5. Step 5: Solve for x
    x = 3,332,693.98/2,287.41
  6. Step 6: Final answer
    x = 1,456.97

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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.