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Finding the Fourth Proportional to 2,544.47, 3,809.29 and 1,567.61

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Solution

The fourth proportional to 2,544.47, 3,809.29 and 1,567.61 is: 2,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.47 : 3,809.29 = 1,567.61 : x
  2. Step 2: Convert to fraction form
    2,544.47/3,809.29 = 1,567.61/x
  3. Step 3: Cross multiply
    2,544.47x = 3,809.29 × 1,567.61
  4. Step 4: Simplify right side
    2,544.47x = 5,971,481.10
  5. Step 5: Solve for x
    x = 5,971,481.10/2,544.47
  6. Step 6: Final answer
    x = 2,346.85

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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.