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Finding the Fourth Proportional to 3,209.48, 4,814.19 and 1,729.40

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Solution

The fourth proportional to 3,209.48, 4,814.19 and 1,729.40 is: 2,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.48 : 4,814.19 = 1,729.40 : x
  2. Step 2: Convert to fraction form
    3,209.48/4,814.19 = 1,729.40/x
  3. Step 3: Cross multiply
    3,209.48x = 4,814.19 × 1,729.40
  4. Step 4: Simplify right side
    3,209.48x = 8,325,635.65
  5. Step 5: Solve for x
    x = 8,325,635.65/3,209.48
  6. Step 6: Final answer
    x = 2,594.08

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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.