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Finding the Fourth Proportional to 2,642.28, 3,964.50 and 888

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Solution

The fourth proportional to 2,642.28, 3,964.50 and 888 is: 1,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.28 : 3,964.50 = 888 : x
  2. Step 2: Convert to fraction form
    2,642.28/3,964.50 = 888/x
  3. Step 3: Cross multiply
    2,642.28x = 3,964.50 × 888
  4. Step 4: Simplify right side
    2,642.28x = 3,520,476
  5. Step 5: Solve for x
    x = 3,520,476/2,642.28
  6. Step 6: Final answer
    x = 1,332.36

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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.