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Finding the Fourth Proportional to 2,001.09, 2,763.41 and 1,892.01

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Solution

The fourth proportional to 2,001.09, 2,763.41 and 1,892.01 is: 2,612.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.09 : 2,763.41 = 1,892.01 : x
  2. Step 2: Convert to fraction form
    2,001.09/2,763.41 = 1,892.01/x
  3. Step 3: Cross multiply
    2,001.09x = 2,763.41 × 1,892.01
  4. Step 4: Simplify right side
    2,001.09x = 5,228,389.89
  5. Step 5: Solve for x
    x = 5,228,389.89/2,001.09
  6. Step 6: Final answer
    x = 2,612.77

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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.