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Finding the Fourth Proportional to 3,152.68, 4,728.60 and 844.36

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Solution

The fourth proportional to 3,152.68, 4,728.60 and 844.36 is: 1,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.68 : 4,728.60 = 844.36 : x
  2. Step 2: Convert to fraction form
    3,152.68/4,728.60 = 844.36/x
  3. Step 3: Cross multiply
    3,152.68x = 4,728.60 × 844.36
  4. Step 4: Simplify right side
    3,152.68x = 3,992,640.70
  5. Step 5: Solve for x
    x = 3,992,640.70/3,152.68
  6. Step 6: Final answer
    x = 1,266.43

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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.