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Finding the Fourth Proportional to 1,844.08, 2,544 and 1,214.44

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Solution

The fourth proportional to 1,844.08, 2,544 and 1,214.44 is: 1,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.08 : 2,544 = 1,214.44 : x
  2. Step 2: Convert to fraction form
    1,844.08/2,544 = 1,214.44/x
  3. Step 3: Cross multiply
    1,844.08x = 2,544 × 1,214.44
  4. Step 4: Simplify right side
    1,844.08x = 3,089,535.36
  5. Step 5: Solve for x
    x = 3,089,535.36/1,844.08
  6. Step 6: Final answer
    x = 1,675.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.