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Finding the Fourth Proportional to 2,809.96, 4,207.75 and 2,726.81

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Solution

The fourth proportional to 2,809.96, 4,207.75 and 2,726.81 is: 4,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.96 : 4,207.75 = 2,726.81 : x
  2. Step 2: Convert to fraction form
    2,809.96/4,207.75 = 2,726.81/x
  3. Step 3: Cross multiply
    2,809.96x = 4,207.75 × 2,726.81
  4. Step 4: Simplify right side
    2,809.96x = 11,473,730.90
  5. Step 5: Solve for x
    x = 11,473,730.90/2,809.96
  6. Step 6: Final answer
    x = 4,083.24

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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.