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Finding the Fourth Proportional to 2,567.79, 3,545.28 and 1,685.09

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Solution

The fourth proportional to 2,567.79, 3,545.28 and 1,685.09 is: 2,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.79 : 3,545.28 = 1,685.09 : x
  2. Step 2: Convert to fraction form
    2,567.79/3,545.28 = 1,685.09/x
  3. Step 3: Cross multiply
    2,567.79x = 3,545.28 × 1,685.09
  4. Step 4: Simplify right side
    2,567.79x = 5,974,115.88
  5. Step 5: Solve for x
    x = 5,974,115.88/2,567.79
  6. Step 6: Final answer
    x = 2,326.56

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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.