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Finding the Fourth Proportional to 2,019.72, 3,030.97 and 787.14

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Solution

The fourth proportional to 2,019.72, 3,030.97 and 787.14 is: 1,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.72 : 3,030.97 = 787.14 : x
  2. Step 2: Convert to fraction form
    2,019.72/3,030.97 = 787.14/x
  3. Step 3: Cross multiply
    2,019.72x = 3,030.97 × 787.14
  4. Step 4: Simplify right side
    2,019.72x = 2,385,797.73
  5. Step 5: Solve for x
    x = 2,385,797.73/2,019.72
  6. Step 6: Final answer
    x = 1,181.25

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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.