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Finding the Fourth Proportional to 2,802.09, 3,864.74 and 1,806.78

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Solution

The fourth proportional to 2,802.09, 3,864.74 and 1,806.78 is: 2,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.09 : 3,864.74 = 1,806.78 : x
  2. Step 2: Convert to fraction form
    2,802.09/3,864.74 = 1,806.78/x
  3. Step 3: Cross multiply
    2,802.09x = 3,864.74 × 1,806.78
  4. Step 4: Simplify right side
    2,802.09x = 6,982,725.90
  5. Step 5: Solve for x
    x = 6,982,725.90/2,802.09
  6. Step 6: Final answer
    x = 2,491.97

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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.