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Finding the Fourth Proportional to 3,209.81, 4,429.49 and 1,883.52

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Solution

The fourth proportional to 3,209.81, 4,429.49 and 1,883.52 is: 2,599.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.81 : 4,429.49 = 1,883.52 : x
  2. Step 2: Convert to fraction form
    3,209.81/4,429.49 = 1,883.52/x
  3. Step 3: Cross multiply
    3,209.81x = 4,429.49 × 1,883.52
  4. Step 4: Simplify right side
    3,209.81x = 8,343,023.59
  5. Step 5: Solve for x
    x = 8,343,023.59/3,209.81
  6. Step 6: Final answer
    x = 2,599.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.