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Finding the Fourth Proportional to 3,169.80, 4,758.60 and 1,999.80

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Solution

The fourth proportional to 3,169.80, 4,758.60 and 1,999.80 is: 3,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.80 : 4,758.60 = 1,999.80 : x
  2. Step 2: Convert to fraction form
    3,169.80/4,758.60 = 1,999.80/x
  3. Step 3: Cross multiply
    3,169.80x = 4,758.60 × 1,999.80
  4. Step 4: Simplify right side
    3,169.80x = 9,516,248.28
  5. Step 5: Solve for x
    x = 9,516,248.28/3,169.80
  6. Step 6: Final answer
    x = 3,002.16

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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.