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Finding the Fourth Proportional to 2,567.89, 3,850.82 and 1,398.86

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Solution

The fourth proportional to 2,567.89, 3,850.82 and 1,398.86 is: 2,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.89 : 3,850.82 = 1,398.86 : x
  2. Step 2: Convert to fraction form
    2,567.89/3,850.82 = 1,398.86/x
  3. Step 3: Cross multiply
    2,567.89x = 3,850.82 × 1,398.86
  4. Step 4: Simplify right side
    2,567.89x = 5,386,758.07
  5. Step 5: Solve for x
    x = 5,386,758.07/2,567.89
  6. Step 6: Final answer
    x = 2,097.74

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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.