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Finding the Fourth Proportional to 2,792.84, 3,851.96 and 2,046.52

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Solution

The fourth proportional to 2,792.84, 3,851.96 and 2,046.52 is: 2,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.84 : 3,851.96 = 2,046.52 : x
  2. Step 2: Convert to fraction form
    2,792.84/3,851.96 = 2,046.52/x
  3. Step 3: Cross multiply
    2,792.84x = 3,851.96 × 2,046.52
  4. Step 4: Simplify right side
    2,792.84x = 7,883,113.18
  5. Step 5: Solve for x
    x = 7,883,113.18/2,792.84
  6. Step 6: Final answer
    x = 2,822.62

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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.