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Finding the Fourth Proportional to 3,314.92, 4,970.52 and 1,463.80

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Solution

The fourth proportional to 3,314.92, 4,970.52 and 1,463.80 is: 2,194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.92 : 4,970.52 = 1,463.80 : x
  2. Step 2: Convert to fraction form
    3,314.92/4,970.52 = 1,463.80/x
  3. Step 3: Cross multiply
    3,314.92x = 4,970.52 × 1,463.80
  4. Step 4: Simplify right side
    3,314.92x = 7,275,847.18
  5. Step 5: Solve for x
    x = 7,275,847.18/3,314.92
  6. Step 6: Final answer
    x = 2,194.88

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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.