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Finding the Fourth Proportional to 2,429.46, 3,627.11 and 2,199.83

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Solution

The fourth proportional to 2,429.46, 3,627.11 and 2,199.83 is: 3,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.46 : 3,627.11 = 2,199.83 : x
  2. Step 2: Convert to fraction form
    2,429.46/3,627.11 = 2,199.83/x
  3. Step 3: Cross multiply
    2,429.46x = 3,627.11 × 2,199.83
  4. Step 4: Simplify right side
    2,429.46x = 7,979,012.76
  5. Step 5: Solve for x
    x = 7,979,012.76/2,429.46
  6. Step 6: Final answer
    x = 3,284.27

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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.