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Finding the Fourth Proportional to 2,103.91, 3,155.85 and 787.59

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Solution

The fourth proportional to 2,103.91, 3,155.85 and 787.59 is: 1,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.91 : 3,155.85 = 787.59 : x
  2. Step 2: Convert to fraction form
    2,103.91/3,155.85 = 787.59/x
  3. Step 3: Cross multiply
    2,103.91x = 3,155.85 × 787.59
  4. Step 4: Simplify right side
    2,103.91x = 2,485,515.90
  5. Step 5: Solve for x
    x = 2,485,515.90/2,103.91
  6. Step 6: Final answer
    x = 1,181.38

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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.