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Finding the Fourth Proportional to 2,869.58, 4,304.24 and 789.45

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Solution

The fourth proportional to 2,869.58, 4,304.24 and 789.45 is: 1,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.58 : 4,304.24 = 789.45 : x
  2. Step 2: Convert to fraction form
    2,869.58/4,304.24 = 789.45/x
  3. Step 3: Cross multiply
    2,869.58x = 4,304.24 × 789.45
  4. Step 4: Simplify right side
    2,869.58x = 3,397,965.14
  5. Step 5: Solve for x
    x = 3,397,965.14/2,869.58
  6. Step 6: Final answer
    x = 1,184.13

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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.