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Finding the Fourth Proportional to 2,194.63, 3,291.91 and 655.63

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Solution

The fourth proportional to 2,194.63, 3,291.91 and 655.63 is: 983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.63 : 3,291.91 = 655.63 : x
  2. Step 2: Convert to fraction form
    2,194.63/3,291.91 = 655.63/x
  3. Step 3: Cross multiply
    2,194.63x = 3,291.91 × 655.63
  4. Step 4: Simplify right side
    2,194.63x = 2,158,265.08
  5. Step 5: Solve for x
    x = 2,158,265.08/2,194.63
  6. Step 6: Final answer
    x = 983.43

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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.