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Finding the Fourth Proportional to 1,626.44, 2,439.76 and 652.42

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Solution

The fourth proportional to 1,626.44, 2,439.76 and 652.42 is: 978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.44 : 2,439.76 = 652.42 : x
  2. Step 2: Convert to fraction form
    1,626.44/2,439.76 = 652.42/x
  3. Step 3: Cross multiply
    1,626.44x = 2,439.76 × 652.42
  4. Step 4: Simplify right side
    1,626.44x = 1,591,736.02
  5. Step 5: Solve for x
    x = 1,591,736.02/1,626.44
  6. Step 6: Final answer
    x = 978.66

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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.