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Finding the Fourth Proportional to 1,521.07, 2,277.49 and 789.11

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Solution

The fourth proportional to 1,521.07, 2,277.49 and 789.11 is: 1,181.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.07 : 2,277.49 = 789.11 : x
  2. Step 2: Convert to fraction form
    1,521.07/2,277.49 = 789.11/x
  3. Step 3: Cross multiply
    1,521.07x = 2,277.49 × 789.11
  4. Step 4: Simplify right side
    1,521.07x = 1,797,190.13
  5. Step 5: Solve for x
    x = 1,797,190.13/1,521.07
  6. Step 6: Final answer
    x = 1,181.53

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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.