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Finding the Fourth Proportional to 2,735.30, 4,103.67 and 787.66

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Solution

The fourth proportional to 2,735.30, 4,103.67 and 787.66 is: 1,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.30 : 4,103.67 = 787.66 : x
  2. Step 2: Convert to fraction form
    2,735.30/4,103.67 = 787.66/x
  3. Step 3: Cross multiply
    2,735.30x = 4,103.67 × 787.66
  4. Step 4: Simplify right side
    2,735.30x = 3,232,296.71
  5. Step 5: Solve for x
    x = 3,232,296.71/2,735.30
  6. Step 6: Final answer
    x = 1,181.70

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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.