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Finding the Fourth Proportional to 2,544.47, 3,816.93 and 789.48

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Solution

The fourth proportional to 2,544.47, 3,816.93 and 789.48 is: 1,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.47 : 3,816.93 = 789.48 : x
  2. Step 2: Convert to fraction form
    2,544.47/3,816.93 = 789.48/x
  3. Step 3: Cross multiply
    2,544.47x = 3,816.93 × 789.48
  4. Step 4: Simplify right side
    2,544.47x = 3,013,389.90
  5. Step 5: Solve for x
    x = 3,013,389.90/2,544.47
  6. Step 6: Final answer
    x = 1,184.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.