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Finding the Fourth Proportional to 2,821.99, 4,233.38 and 1,178.16

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Solution

The fourth proportional to 2,821.99, 4,233.38 and 1,178.16 is: 1,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.99 : 4,233.38 = 1,178.16 : x
  2. Step 2: Convert to fraction form
    2,821.99/4,233.38 = 1,178.16/x
  3. Step 3: Cross multiply
    2,821.99x = 4,233.38 × 1,178.16
  4. Step 4: Simplify right side
    2,821.99x = 4,987,593.09
  5. Step 5: Solve for x
    x = 4,987,593.09/2,821.99
  6. Step 6: Final answer
    x = 1,767.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.