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Finding the Fourth Proportional to 2,961, 4,433.28 and 1,922.20

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Solution

The fourth proportional to 2,961, 4,433.28 and 1,922.20 is: 2,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961 : 4,433.28 = 1,922.20 : x
  2. Step 2: Convert to fraction form
    2,961/4,433.28 = 1,922.20/x
  3. Step 3: Cross multiply
    2,961x = 4,433.28 × 1,922.20
  4. Step 4: Simplify right side
    2,961x = 8,521,650.82
  5. Step 5: Solve for x
    x = 8,521,650.82/2,961
  6. Step 6: Final answer
    x = 2,877.96

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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.