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Finding the Fourth Proportional to 2,544.66, 3,816.27 and 812.34

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Solution

The fourth proportional to 2,544.66, 3,816.27 and 812.34 is: 1,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.66 : 3,816.27 = 812.34 : x
  2. Step 2: Convert to fraction form
    2,544.66/3,816.27 = 812.34/x
  3. Step 3: Cross multiply
    2,544.66x = 3,816.27 × 812.34
  4. Step 4: Simplify right side
    2,544.66x = 3,100,108.77
  5. Step 5: Solve for x
    x = 3,100,108.77/2,544.66
  6. Step 6: Final answer
    x = 1,218.28

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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.