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Finding the Fourth Proportional to 2,873, 3,962.85 and 2,074.99

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Solution

The fourth proportional to 2,873, 3,962.85 and 2,074.99 is: 2,862.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873 : 3,962.85 = 2,074.99 : x
  2. Step 2: Convert to fraction form
    2,873/3,962.85 = 2,074.99/x
  3. Step 3: Cross multiply
    2,873x = 3,962.85 × 2,074.99
  4. Step 4: Simplify right side
    2,873x = 8,222,874.12
  5. Step 5: Solve for x
    x = 8,222,874.12/2,873
  6. Step 6: Final answer
    x = 2,862.12

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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.