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Finding the Fourth Proportional to 2,497.89, 3,447.42 and 1,567.65

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Solution

The fourth proportional to 2,497.89, 3,447.42 and 1,567.65 is: 2,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.89 : 3,447.42 = 1,567.65 : x
  2. Step 2: Convert to fraction form
    2,497.89/3,447.42 = 1,567.65/x
  3. Step 3: Cross multiply
    2,497.89x = 3,447.42 × 1,567.65
  4. Step 4: Simplify right side
    2,497.89x = 5,404,347.96
  5. Step 5: Solve for x
    x = 5,404,347.96/2,497.89
  6. Step 6: Final answer
    x = 2,163.57

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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.