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Finding the Fourth Proportional to 3,167.80, 4,371.20 and 1,823.60

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Solution

The fourth proportional to 3,167.80, 4,371.20 and 1,823.60 is: 2,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.80 : 4,371.20 = 1,823.60 : x
  2. Step 2: Convert to fraction form
    3,167.80/4,371.20 = 1,823.60/x
  3. Step 3: Cross multiply
    3,167.80x = 4,371.20 × 1,823.60
  4. Step 4: Simplify right side
    3,167.80x = 7,971,320.32
  5. Step 5: Solve for x
    x = 7,971,320.32/3,167.80
  6. Step 6: Final answer
    x = 2,516.36

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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.