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Finding the Fourth Proportional to 2,116.68, 3,175.56 and 655.98

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Solution

The fourth proportional to 2,116.68, 3,175.56 and 655.98 is: 984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.68 : 3,175.56 = 655.98 : x
  2. Step 2: Convert to fraction form
    2,116.68/3,175.56 = 655.98/x
  3. Step 3: Cross multiply
    2,116.68x = 3,175.56 × 655.98
  4. Step 4: Simplify right side
    2,116.68x = 2,083,103.85
  5. Step 5: Solve for x
    x = 2,083,103.85/2,116.68
  6. Step 6: Final answer
    x = 984.14

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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.