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Finding the Fourth Proportional to 2,544, 3,813.36 and 1,084.08

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Solution

The fourth proportional to 2,544, 3,813.36 and 1,084.08 is: 1,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544 : 3,813.36 = 1,084.08 : x
  2. Step 2: Convert to fraction form
    2,544/3,813.36 = 1,084.08/x
  3. Step 3: Cross multiply
    2,544x = 3,813.36 × 1,084.08
  4. Step 4: Simplify right side
    2,544x = 4,133,987.31
  5. Step 5: Solve for x
    x = 4,133,987.31/2,544
  6. Step 6: Final answer
    x = 1,625.00

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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.