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Finding the Fourth Proportional to 2,545.09, 3,816.59 and 789.67

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Solution

The fourth proportional to 2,545.09, 3,816.59 and 789.67 is: 1,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.09 : 3,816.59 = 789.67 : x
  2. Step 2: Convert to fraction form
    2,545.09/3,816.59 = 789.67/x
  3. Step 3: Cross multiply
    2,545.09x = 3,816.59 × 789.67
  4. Step 4: Simplify right side
    2,545.09x = 3,013,847.45
  5. Step 5: Solve for x
    x = 3,013,847.45/2,545.09
  6. Step 6: Final answer
    x = 1,184.18

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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.