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Finding the Fourth Proportional to 2,033.97, 2,806.88 and 1,102.47

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Solution

The fourth proportional to 2,033.97, 2,806.88 and 1,102.47 is: 1,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.97 : 2,806.88 = 1,102.47 : x
  2. Step 2: Convert to fraction form
    2,033.97/2,806.88 = 1,102.47/x
  3. Step 3: Cross multiply
    2,033.97x = 2,806.88 × 1,102.47
  4. Step 4: Simplify right side
    2,033.97x = 3,094,500.99
  5. Step 5: Solve for x
    x = 3,094,500.99/2,033.97
  6. Step 6: Final answer
    x = 1,521.41

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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.