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Finding the Fourth Proportional to 2,314.21, 3,471.55 and 853.02

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Solution

The fourth proportional to 2,314.21, 3,471.55 and 853.02 is: 1,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.21 : 3,471.55 = 853.02 : x
  2. Step 2: Convert to fraction form
    2,314.21/3,471.55 = 853.02/x
  3. Step 3: Cross multiply
    2,314.21x = 3,471.55 × 853.02
  4. Step 4: Simplify right side
    2,314.21x = 2,961,301.58
  5. Step 5: Solve for x
    x = 2,961,301.58/2,314.21
  6. Step 6: Final answer
    x = 1,279.62

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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.