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Finding the Fourth Proportional to 2,612.67, 3,921.03 and 970.80

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Solution

The fourth proportional to 2,612.67, 3,921.03 and 970.80 is: 1,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.67 : 3,921.03 = 970.80 : x
  2. Step 2: Convert to fraction form
    2,612.67/3,921.03 = 970.80/x
  3. Step 3: Cross multiply
    2,612.67x = 3,921.03 × 970.80
  4. Step 4: Simplify right side
    2,612.67x = 3,806,535.92
  5. Step 5: Solve for x
    x = 3,806,535.92/2,612.67
  6. Step 6: Final answer
    x = 1,456.95

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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.