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Finding the Fourth Proportional to 2,469.01, 3,684.40 and 2,206.15

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Solution

The fourth proportional to 2,469.01, 3,684.40 and 2,206.15 is: 3,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.01 : 3,684.40 = 2,206.15 : x
  2. Step 2: Convert to fraction form
    2,469.01/3,684.40 = 2,206.15/x
  3. Step 3: Cross multiply
    2,469.01x = 3,684.40 × 2,206.15
  4. Step 4: Simplify right side
    2,469.01x = 8,128,309.61
  5. Step 5: Solve for x
    x = 8,128,309.61/2,469.01
  6. Step 6: Final answer
    x = 3,292.14

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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.