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Finding the Fourth Proportional to 2,894.85, 3,995.33 and 2,452.05

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Solution

The fourth proportional to 2,894.85, 3,995.33 and 2,452.05 is: 3,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.85 : 3,995.33 = 2,452.05 : x
  2. Step 2: Convert to fraction form
    2,894.85/3,995.33 = 2,452.05/x
  3. Step 3: Cross multiply
    2,894.85x = 3,995.33 × 2,452.05
  4. Step 4: Simplify right side
    2,894.85x = 9,796,736.67
  5. Step 5: Solve for x
    x = 9,796,736.67/2,894.85
  6. Step 6: Final answer
    x = 3,384.19

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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.