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Finding the Fourth Proportional to 2,820.27, 3,892.28 and 1,641.99

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Solution

The fourth proportional to 2,820.27, 3,892.28 and 1,641.99 is: 2,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.27 : 3,892.28 = 1,641.99 : x
  2. Step 2: Convert to fraction form
    2,820.27/3,892.28 = 1,641.99/x
  3. Step 3: Cross multiply
    2,820.27x = 3,892.28 × 1,641.99
  4. Step 4: Simplify right side
    2,820.27x = 6,391,084.84
  5. Step 5: Solve for x
    x = 6,391,084.84/2,820.27
  6. Step 6: Final answer
    x = 2,266.13

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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.