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Finding the Fourth Proportional to 2,819.48, 4,229.91 and 970.62

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Solution

The fourth proportional to 2,819.48, 4,229.91 and 970.62 is: 1,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.48 : 4,229.91 = 970.62 : x
  2. Step 2: Convert to fraction form
    2,819.48/4,229.91 = 970.62/x
  3. Step 3: Cross multiply
    2,819.48x = 4,229.91 × 970.62
  4. Step 4: Simplify right side
    2,819.48x = 4,105,635.24
  5. Step 5: Solve for x
    x = 4,105,635.24/2,819.48
  6. Step 6: Final answer
    x = 1,456.17

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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.