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Finding the Fourth Proportional to 1,686.83, 2,531.87 and 821.75

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Solution

The fourth proportional to 1,686.83, 2,531.87 and 821.75 is: 1,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.83 : 2,531.87 = 821.75 : x
  2. Step 2: Convert to fraction form
    1,686.83/2,531.87 = 821.75/x
  3. Step 3: Cross multiply
    1,686.83x = 2,531.87 × 821.75
  4. Step 4: Simplify right side
    1,686.83x = 2,080,556.90
  5. Step 5: Solve for x
    x = 2,080,556.90/1,686.83
  6. Step 6: Final answer
    x = 1,233.41

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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.