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Finding the Fourth Proportional to 2,116.17, 3,174.26 and 655.38

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Solution

The fourth proportional to 2,116.17, 3,174.26 and 655.38 is: 983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.17 : 3,174.26 = 655.38 : x
  2. Step 2: Convert to fraction form
    2,116.17/3,174.26 = 655.38/x
  3. Step 3: Cross multiply
    2,116.17x = 3,174.26 × 655.38
  4. Step 4: Simplify right side
    2,116.17x = 2,080,343.24
  5. Step 5: Solve for x
    x = 2,080,343.24/2,116.17
  6. Step 6: Final answer
    x = 983.07

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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.