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Finding the Fourth Proportional to 2,684.97, 3,705.53 and 1,802.61

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Solution

The fourth proportional to 2,684.97, 3,705.53 and 1,802.61 is: 2,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.97 : 3,705.53 = 1,802.61 : x
  2. Step 2: Convert to fraction form
    2,684.97/3,705.53 = 1,802.61/x
  3. Step 3: Cross multiply
    2,684.97x = 3,705.53 × 1,802.61
  4. Step 4: Simplify right side
    2,684.97x = 6,679,616.42
  5. Step 5: Solve for x
    x = 6,679,616.42/2,684.97
  6. Step 6: Final answer
    x = 2,487.78

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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.