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Finding the Fourth Proportional to 2,549.62, 3,814.24 and 2,206.66

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Solution

The fourth proportional to 2,549.62, 3,814.24 and 2,206.66 is: 3,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.62 : 3,814.24 = 2,206.66 : x
  2. Step 2: Convert to fraction form
    2,549.62/3,814.24 = 2,206.66/x
  3. Step 3: Cross multiply
    2,549.62x = 3,814.24 × 2,206.66
  4. Step 4: Simplify right side
    2,549.62x = 8,416,730.84
  5. Step 5: Solve for x
    x = 8,416,730.84/2,549.62
  6. Step 6: Final answer
    x = 3,301.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.