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Finding the Fourth Proportional to 3,202.59, 4,803.88 and 1,446.62

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Solution

The fourth proportional to 3,202.59, 4,803.88 and 1,446.62 is: 2,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.59 : 4,803.88 = 1,446.62 : x
  2. Step 2: Convert to fraction form
    3,202.59/4,803.88 = 1,446.62/x
  3. Step 3: Cross multiply
    3,202.59x = 4,803.88 × 1,446.62
  4. Step 4: Simplify right side
    3,202.59x = 6,949,409.41
  5. Step 5: Solve for x
    x = 6,949,409.41/3,202.59
  6. Step 6: Final answer
    x = 2,169.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.