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Finding the Fourth Proportional to 2,144.93, 3,215.09 and 1,404.26

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Solution

The fourth proportional to 2,144.93, 3,215.09 and 1,404.26 is: 2,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.93 : 3,215.09 = 1,404.26 : x
  2. Step 2: Convert to fraction form
    2,144.93/3,215.09 = 1,404.26/x
  3. Step 3: Cross multiply
    2,144.93x = 3,215.09 × 1,404.26
  4. Step 4: Simplify right side
    2,144.93x = 4,514,830.82
  5. Step 5: Solve for x
    x = 4,514,830.82/2,144.93
  6. Step 6: Final answer
    x = 2,104.88

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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.