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Finding the Fourth Proportional to 2,933.12, 4,399.91 and 853.16

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Solution

The fourth proportional to 2,933.12, 4,399.91 and 853.16 is: 1,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.12 : 4,399.91 = 853.16 : x
  2. Step 2: Convert to fraction form
    2,933.12/4,399.91 = 853.16/x
  3. Step 3: Cross multiply
    2,933.12x = 4,399.91 × 853.16
  4. Step 4: Simplify right side
    2,933.12x = 3,753,827.22
  5. Step 5: Solve for x
    x = 3,753,827.22/2,933.12
  6. Step 6: Final answer
    x = 1,279.81

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Why These Related Problems?

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