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Finding the Fourth Proportional to 3,115.90, 4,668.63 and 2,189.80

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Solution

The fourth proportional to 3,115.90, 4,668.63 and 2,189.80 is: 3,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.90 : 4,668.63 = 2,189.80 : x
  2. Step 2: Convert to fraction form
    3,115.90/4,668.63 = 2,189.80/x
  3. Step 3: Cross multiply
    3,115.90x = 4,668.63 × 2,189.80
  4. Step 4: Simplify right side
    3,115.90x = 10,223,346.25
  5. Step 5: Solve for x
    x = 10,223,346.25/3,115.90
  6. Step 6: Final answer
    x = 3,281.03

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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.