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Finding the Fourth Proportional to 2,406.73, 3,319.20 and 1,567.12

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Solution

The fourth proportional to 2,406.73, 3,319.20 and 1,567.12 is: 2,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.73 : 3,319.20 = 1,567.12 : x
  2. Step 2: Convert to fraction form
    2,406.73/3,319.20 = 1,567.12/x
  3. Step 3: Cross multiply
    2,406.73x = 3,319.20 × 1,567.12
  4. Step 4: Simplify right side
    2,406.73x = 5,201,584.70
  5. Step 5: Solve for x
    x = 5,201,584.70/2,406.73
  6. Step 6: Final answer
    x = 2,161.27

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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.