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Finding the Fourth Proportional to 2,111.78, 3,168.12 and 726.14

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Solution

The fourth proportional to 2,111.78, 3,168.12 and 726.14 is: 1,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.78 : 3,168.12 = 726.14 : x
  2. Step 2: Convert to fraction form
    2,111.78/3,168.12 = 726.14/x
  3. Step 3: Cross multiply
    2,111.78x = 3,168.12 × 726.14
  4. Step 4: Simplify right side
    2,111.78x = 2,300,498.66
  5. Step 5: Solve for x
    x = 2,300,498.66/2,111.78
  6. Step 6: Final answer
    x = 1,089.36

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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.