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Finding the Fourth Proportional to 2,567.37, 3,540.20 and 2,097.17

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Solution

The fourth proportional to 2,567.37, 3,540.20 and 2,097.17 is: 2,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.37 : 3,540.20 = 2,097.17 : x
  2. Step 2: Convert to fraction form
    2,567.37/3,540.20 = 2,097.17/x
  3. Step 3: Cross multiply
    2,567.37x = 3,540.20 × 2,097.17
  4. Step 4: Simplify right side
    2,567.37x = 7,424,373.05
  5. Step 5: Solve for x
    x = 7,424,373.05/2,567.37
  6. Step 6: Final answer
    x = 2,891.82

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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.