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Finding the Fourth Proportional to 1,404.92, 2,115.62 and 1,224.42

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Solution

The fourth proportional to 1,404.92, 2,115.62 and 1,224.42 is: 1,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.92 : 2,115.62 = 1,224.42 : x
  2. Step 2: Convert to fraction form
    1,404.92/2,115.62 = 1,224.42/x
  3. Step 3: Cross multiply
    1,404.92x = 2,115.62 × 1,224.42
  4. Step 4: Simplify right side
    1,404.92x = 2,590,407.44
  5. Step 5: Solve for x
    x = 2,590,407.44/1,404.92
  6. Step 6: Final answer
    x = 1,843.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.