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Finding the Fourth Proportional to 2,099.02, 3,142.02 and 1,787.98

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Solution

The fourth proportional to 2,099.02, 3,142.02 and 1,787.98 is: 2,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.02 : 3,142.02 = 1,787.98 : x
  2. Step 2: Convert to fraction form
    2,099.02/3,142.02 = 1,787.98/x
  3. Step 3: Cross multiply
    2,099.02x = 3,142.02 × 1,787.98
  4. Step 4: Simplify right side
    2,099.02x = 5,617,868.92
  5. Step 5: Solve for x
    x = 5,617,868.92/2,099.02
  6. Step 6: Final answer
    x = 2,676.42

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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.