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Finding the Fourth Proportional to 1,686.92, 2,530.45 and 821.03

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Solution

The fourth proportional to 1,686.92, 2,530.45 and 821.03 is: 1,231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.92 : 2,530.45 = 821.03 : x
  2. Step 2: Convert to fraction form
    1,686.92/2,530.45 = 821.03/x
  3. Step 3: Cross multiply
    1,686.92x = 2,530.45 × 821.03
  4. Step 4: Simplify right side
    1,686.92x = 2,077,575.36
  5. Step 5: Solve for x
    x = 2,077,575.36/1,686.92
  6. Step 6: Final answer
    x = 1,231.58

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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.