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Finding the Fourth Proportional to 2,310.78, 3,443.24 and 2,199.30

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Solution

The fourth proportional to 2,310.78, 3,443.24 and 2,199.30 is: 3,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.78 : 3,443.24 = 2,199.30 : x
  2. Step 2: Convert to fraction form
    2,310.78/3,443.24 = 2,199.30/x
  3. Step 3: Cross multiply
    2,310.78x = 3,443.24 × 2,199.30
  4. Step 4: Simplify right side
    2,310.78x = 7,572,706.74
  5. Step 5: Solve for x
    x = 7,572,706.74/2,310.78
  6. Step 6: Final answer
    x = 3,277.12

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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.