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Finding the Fourth Proportional to 2,468.25, 3,686.10 and 2,196.09

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Solution

The fourth proportional to 2,468.25, 3,686.10 and 2,196.09 is: 3,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.25 : 3,686.10 = 2,196.09 : x
  2. Step 2: Convert to fraction form
    2,468.25/3,686.10 = 2,196.09/x
  3. Step 3: Cross multiply
    2,468.25x = 3,686.10 × 2,196.09
  4. Step 4: Simplify right side
    2,468.25x = 8,095,007.35
  5. Step 5: Solve for x
    x = 8,095,007.35/2,468.25
  6. Step 6: Final answer
    x = 3,279.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.