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Finding the Fourth Proportional to 2,001.09, 2,763.99 and 1,414.25

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Solution

The fourth proportional to 2,001.09, 2,763.99 and 1,414.25 is: 1,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.09 : 2,763.99 = 1,414.25 : x
  2. Step 2: Convert to fraction form
    2,001.09/2,763.99 = 1,414.25/x
  3. Step 3: Cross multiply
    2,001.09x = 2,763.99 × 1,414.25
  4. Step 4: Simplify right side
    2,001.09x = 3,908,972.86
  5. Step 5: Solve for x
    x = 3,908,972.86/2,001.09
  6. Step 6: Final answer
    x = 1,953.42

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