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Finding the Fourth Proportional to 2,544.34, 3,816.19 and 900.42

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Solution

The fourth proportional to 2,544.34, 3,816.19 and 900.42 is: 1,350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.34 : 3,816.19 = 900.42 : x
  2. Step 2: Convert to fraction form
    2,544.34/3,816.19 = 900.42/x
  3. Step 3: Cross multiply
    2,544.34x = 3,816.19 × 900.42
  4. Step 4: Simplify right side
    2,544.34x = 3,436,173.80
  5. Step 5: Solve for x
    x = 3,436,173.80/2,544.34
  6. Step 6: Final answer
    x = 1,350.52

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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.