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Finding the Fourth Proportional to 2,033.79, 2,806.64 and 1,102.29

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Solution

The fourth proportional to 2,033.79, 2,806.64 and 1,102.29 is: 1,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.79 : 2,806.64 = 1,102.29 : x
  2. Step 2: Convert to fraction form
    2,033.79/2,806.64 = 1,102.29/x
  3. Step 3: Cross multiply
    2,033.79x = 2,806.64 × 1,102.29
  4. Step 4: Simplify right side
    2,033.79x = 3,093,731.21
  5. Step 5: Solve for x
    x = 3,093,731.21/2,033.79
  6. Step 6: Final answer
    x = 1,521.17

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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.