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Finding the Fourth Proportional to 2,271.20, 3,405.51 and 789.74

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Solution

The fourth proportional to 2,271.20, 3,405.51 and 789.74 is: 1,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.20 : 3,405.51 = 789.74 : x
  2. Step 2: Convert to fraction form
    2,271.20/3,405.51 = 789.74/x
  3. Step 3: Cross multiply
    2,271.20x = 3,405.51 × 789.74
  4. Step 4: Simplify right side
    2,271.20x = 2,689,450.44
  5. Step 5: Solve for x
    x = 2,689,450.44/2,271.20
  6. Step 6: Final answer
    x = 1,184.16

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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.