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Finding the Fourth Proportional to 2,193.10, 3,290.02 and 806.52

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Solution

The fourth proportional to 2,193.10, 3,290.02 and 806.52 is: 1,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.10 : 3,290.02 = 806.52 : x
  2. Step 2: Convert to fraction form
    2,193.10/3,290.02 = 806.52/x
  3. Step 3: Cross multiply
    2,193.10x = 3,290.02 × 806.52
  4. Step 4: Simplify right side
    2,193.10x = 2,653,466.93
  5. Step 5: Solve for x
    x = 2,653,466.93/2,193.10
  6. Step 6: Final answer
    x = 1,209.92

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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.