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Finding the Fourth Proportional to 2,792.82, 4,185.09 and 1,865.19

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Solution

The fourth proportional to 2,792.82, 4,185.09 and 1,865.19 is: 2,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.82 : 4,185.09 = 1,865.19 : x
  2. Step 2: Convert to fraction form
    2,792.82/4,185.09 = 1,865.19/x
  3. Step 3: Cross multiply
    2,792.82x = 4,185.09 × 1,865.19
  4. Step 4: Simplify right side
    2,792.82x = 7,805,988.02
  5. Step 5: Solve for x
    x = 7,805,988.02/2,792.82
  6. Step 6: Final answer
    x = 2,795.02

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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.