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Finding the Fourth Proportional to 2,193.90, 3,291.12 and 961.62

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Solution

The fourth proportional to 2,193.90, 3,291.12 and 961.62 is: 1,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.90 : 3,291.12 = 961.62 : x
  2. Step 2: Convert to fraction form
    2,193.90/3,291.12 = 961.62/x
  3. Step 3: Cross multiply
    2,193.90x = 3,291.12 × 961.62
  4. Step 4: Simplify right side
    2,193.90x = 3,164,806.81
  5. Step 5: Solve for x
    x = 3,164,806.81/2,193.90
  6. Step 6: Final answer
    x = 1,442.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.