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Finding the Fourth Proportional to 2,194.31, 3,292.04 and 655.31

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Solution

The fourth proportional to 2,194.31, 3,292.04 and 655.31 is: 983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.31 : 3,292.04 = 655.31 : x
  2. Step 2: Convert to fraction form
    2,194.31/3,292.04 = 655.31/x
  3. Step 3: Cross multiply
    2,194.31x = 3,292.04 × 655.31
  4. Step 4: Simplify right side
    2,194.31x = 2,157,314.14
  5. Step 5: Solve for x
    x = 2,157,314.14/2,194.31
  6. Step 6: Final answer
    x = 983.14

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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.