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Finding the Fourth Proportional to 2,019.72, 2,787.12 and 1,233.84

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Solution

The fourth proportional to 2,019.72, 2,787.12 and 1,233.84 is: 1,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.72 : 2,787.12 = 1,233.84 : x
  2. Step 2: Convert to fraction form
    2,019.72/2,787.12 = 1,233.84/x
  3. Step 3: Cross multiply
    2,019.72x = 2,787.12 × 1,233.84
  4. Step 4: Simplify right side
    2,019.72x = 3,438,860.14
  5. Step 5: Solve for x
    x = 3,438,860.14/2,019.72
  6. Step 6: Final answer
    x = 1,702.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.