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Finding the Fourth Proportional to 3,251.44, 4,877.16 and 942.94

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Solution

The fourth proportional to 3,251.44, 4,877.16 and 942.94 is: 1,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.44 : 4,877.16 = 942.94 : x
  2. Step 2: Convert to fraction form
    3,251.44/4,877.16 = 942.94/x
  3. Step 3: Cross multiply
    3,251.44x = 4,877.16 × 942.94
  4. Step 4: Simplify right side
    3,251.44x = 4,598,869.25
  5. Step 5: Solve for x
    x = 4,598,869.25/3,251.44
  6. Step 6: Final answer
    x = 1,414.41

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1.5x scale

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.