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Finding the Fourth Proportional to 2,961.44, 4,442.94 and 881.46

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Solution

The fourth proportional to 2,961.44, 4,442.94 and 881.46 is: 1,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.44 : 4,442.94 = 881.46 : x
  2. Step 2: Convert to fraction form
    2,961.44/4,442.94 = 881.46/x
  3. Step 3: Cross multiply
    2,961.44x = 4,442.94 × 881.46
  4. Step 4: Simplify right side
    2,961.44x = 3,916,273.89
  5. Step 5: Solve for x
    x = 3,916,273.89/2,961.44
  6. Step 6: Final answer
    x = 1,322.42

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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.