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Finding the Fourth Proportional to 2,314.11, 3,471.51 and 853.14

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Solution

The fourth proportional to 2,314.11, 3,471.51 and 853.14 is: 1,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.11 : 3,471.51 = 853.14 : x
  2. Step 2: Convert to fraction form
    2,314.11/3,471.51 = 853.14/x
  3. Step 3: Cross multiply
    2,314.11x = 3,471.51 × 853.14
  4. Step 4: Simplify right side
    2,314.11x = 2,961,684.04
  5. Step 5: Solve for x
    x = 2,961,684.04/2,314.11
  6. Step 6: Final answer
    x = 1,279.84

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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.