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Finding the Fourth Proportional to 2,123.62, 3,188.06 and 1,199.91

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Solution

The fourth proportional to 2,123.62, 3,188.06 and 1,199.91 is: 1,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.62 : 3,188.06 = 1,199.91 : x
  2. Step 2: Convert to fraction form
    2,123.62/3,188.06 = 1,199.91/x
  3. Step 3: Cross multiply
    2,123.62x = 3,188.06 × 1,199.91
  4. Step 4: Simplify right side
    2,123.62x = 3,825,395.53
  5. Step 5: Solve for x
    x = 3,825,395.53/2,123.62
  6. Step 6: Final answer
    x = 1,801.36

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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.