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Finding the Fourth Proportional to 2,333.97, 3,499.83 and 853.14

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Solution

The fourth proportional to 2,333.97, 3,499.83 and 853.14 is: 1,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.97 : 3,499.83 = 853.14 : x
  2. Step 2: Convert to fraction form
    2,333.97/3,499.83 = 853.14/x
  3. Step 3: Cross multiply
    2,333.97x = 3,499.83 × 853.14
  4. Step 4: Simplify right side
    2,333.97x = 2,985,844.97
  5. Step 5: Solve for x
    x = 2,985,844.97/2,333.97
  6. Step 6: Final answer
    x = 1,279.30

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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.