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Finding the Fourth Proportional to 1,604, 2,213.52 and 868

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Solution

The fourth proportional to 1,604, 2,213.52 and 868 is: 1,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604 : 2,213.52 = 868 : x
  2. Step 2: Convert to fraction form
    1,604/2,213.52 = 868/x
  3. Step 3: Cross multiply
    1,604x = 2,213.52 × 868
  4. Step 4: Simplify right side
    1,604x = 1,921,335.36
  5. Step 5: Solve for x
    x = 1,921,335.36/1,604
  6. Step 6: Final answer
    x = 1,197.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.