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Finding the Fourth Proportional to 2,820.40, 3,893.12 and 1,641.84

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Solution

The fourth proportional to 2,820.40, 3,893.12 and 1,641.84 is: 2,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.40 : 3,893.12 = 1,641.84 : x
  2. Step 2: Convert to fraction form
    2,820.40/3,893.12 = 1,641.84/x
  3. Step 3: Cross multiply
    2,820.40x = 3,893.12 × 1,641.84
  4. Step 4: Simplify right side
    2,820.40x = 6,391,880.14
  5. Step 5: Solve for x
    x = 6,391,880.14/2,820.40
  6. Step 6: Final answer
    x = 2,266.30

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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.