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Finding the Fourth Proportional to 2,111.20, 3,166.84 and 726.13

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Solution

The fourth proportional to 2,111.20, 3,166.84 and 726.13 is: 1,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.20 : 3,166.84 = 726.13 : x
  2. Step 2: Convert to fraction form
    2,111.20/3,166.84 = 726.13/x
  3. Step 3: Cross multiply
    2,111.20x = 3,166.84 × 726.13
  4. Step 4: Simplify right side
    2,111.20x = 2,299,537.53
  5. Step 5: Solve for x
    x = 2,299,537.53/2,111.20
  6. Step 6: Final answer
    x = 1,089.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.