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Finding the Fourth Proportional to 2,792.40, 3,845.22 and 2,005.08

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Solution

The fourth proportional to 2,792.40, 3,845.22 and 2,005.08 is: 2,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.40 : 3,845.22 = 2,005.08 : x
  2. Step 2: Convert to fraction form
    2,792.40/3,845.22 = 2,005.08/x
  3. Step 3: Cross multiply
    2,792.40x = 3,845.22 × 2,005.08
  4. Step 4: Simplify right side
    2,792.40x = 7,709,973.72
  5. Step 5: Solve for x
    x = 7,709,973.72/2,792.40
  6. Step 6: Final answer
    x = 2,761.06

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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.