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Finding the Fourth Proportional to 2,199.91, 3,284.17 and 2,123.02

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Solution

The fourth proportional to 2,199.91, 3,284.17 and 2,123.02 is: 3,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.91 : 3,284.17 = 2,123.02 : x
  2. Step 2: Convert to fraction form
    2,199.91/3,284.17 = 2,123.02/x
  3. Step 3: Cross multiply
    2,199.91x = 3,284.17 × 2,123.02
  4. Step 4: Simplify right side
    2,199.91x = 6,972,358.59
  5. Step 5: Solve for x
    x = 6,972,358.59/2,199.91
  6. Step 6: Final answer
    x = 3,169.38

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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.