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Finding the Fourth Proportional to 2,087.84, 3,130.75 and 789.42

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Solution

The fourth proportional to 2,087.84, 3,130.75 and 789.42 is: 1,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.84 : 3,130.75 = 789.42 : x
  2. Step 2: Convert to fraction form
    2,087.84/3,130.75 = 789.42/x
  3. Step 3: Cross multiply
    2,087.84x = 3,130.75 × 789.42
  4. Step 4: Simplify right side
    2,087.84x = 2,471,476.67
  5. Step 5: Solve for x
    x = 2,471,476.67/2,087.84
  6. Step 6: Final answer
    x = 1,183.75

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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.