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Finding the Fourth Proportional to 2,001.97, 2,762.74 and 1,117.79

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Solution

The fourth proportional to 2,001.97, 2,762.74 and 1,117.79 is: 1,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.97 : 2,762.74 = 1,117.79 : x
  2. Step 2: Convert to fraction form
    2,001.97/2,762.74 = 1,117.79/x
  3. Step 3: Cross multiply
    2,001.97x = 2,762.74 × 1,117.79
  4. Step 4: Simplify right side
    2,001.97x = 3,088,163.14
  5. Step 5: Solve for x
    x = 3,088,163.14/2,001.97
  6. Step 6: Final answer
    x = 1,542.56

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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.