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Finding the Fourth Proportional to 2,116.58, 3,175.37 and 655.73

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Solution

The fourth proportional to 2,116.58, 3,175.37 and 655.73 is: 983.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.58 : 3,175.37 = 655.73 : x
  2. Step 2: Convert to fraction form
    2,116.58/3,175.37 = 655.73/x
  3. Step 3: Cross multiply
    2,116.58x = 3,175.37 × 655.73
  4. Step 4: Simplify right side
    2,116.58x = 2,082,194.95
  5. Step 5: Solve for x
    x = 2,082,194.95/2,116.58
  6. Step 6: Final answer
    x = 983.76

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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.