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Finding the Fourth Proportional to 2,033.84, 2,806.63 and 1,194.53

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Solution

The fourth proportional to 2,033.84, 2,806.63 and 1,194.53 is: 1,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.84 : 2,806.63 = 1,194.53 : x
  2. Step 2: Convert to fraction form
    2,033.84/2,806.63 = 1,194.53/x
  3. Step 3: Cross multiply
    2,033.84x = 2,806.63 × 1,194.53
  4. Step 4: Simplify right side
    2,033.84x = 3,352,603.73
  5. Step 5: Solve for x
    x = 3,352,603.73/2,033.84
  6. Step 6: Final answer
    x = 1,648.41

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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.