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Finding the Fourth Proportional to 2,566.38, 3,545.49 and 1,684.26

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Solution

The fourth proportional to 2,566.38, 3,545.49 and 1,684.26 is: 2,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.38 : 3,545.49 = 1,684.26 : x
  2. Step 2: Convert to fraction form
    2,566.38/3,545.49 = 1,684.26/x
  3. Step 3: Cross multiply
    2,566.38x = 3,545.49 × 1,684.26
  4. Step 4: Simplify right side
    2,566.38x = 5,971,526.99
  5. Step 5: Solve for x
    x = 5,971,526.99/2,566.38
  6. Step 6: Final answer
    x = 2,326.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.