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Finding the Fourth Proportional to 2,314.14, 3,469.58 and 853.10

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Solution

The fourth proportional to 2,314.14, 3,469.58 and 853.10 is: 1,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.14 : 3,469.58 = 853.10 : x
  2. Step 2: Convert to fraction form
    2,314.14/3,469.58 = 853.10/x
  3. Step 3: Cross multiply
    2,314.14x = 3,469.58 × 853.10
  4. Step 4: Simplify right side
    2,314.14x = 2,959,898.70
  5. Step 5: Solve for x
    x = 2,959,898.70/2,314.14
  6. Step 6: Final answer
    x = 1,279.05

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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.