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Finding the Fourth Proportional to 2,346.97, 3,519.90 and 787.03

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Solution

The fourth proportional to 2,346.97, 3,519.90 and 787.03 is: 1,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.97 : 3,519.90 = 787.03 : x
  2. Step 2: Convert to fraction form
    2,346.97/3,519.90 = 787.03/x
  3. Step 3: Cross multiply
    2,346.97x = 3,519.90 × 787.03
  4. Step 4: Simplify right side
    2,346.97x = 2,770,266.90
  5. Step 5: Solve for x
    x = 2,770,266.90/2,346.97
  6. Step 6: Final answer
    x = 1,180.36

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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.