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Finding the Fourth Proportional to 2,519.64, 3,778.47 and 853.31

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Solution

The fourth proportional to 2,519.64, 3,778.47 and 853.31 is: 1,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.64 : 3,778.47 = 853.31 : x
  2. Step 2: Convert to fraction form
    2,519.64/3,778.47 = 853.31/x
  3. Step 3: Cross multiply
    2,519.64x = 3,778.47 × 853.31
  4. Step 4: Simplify right side
    2,519.64x = 3,224,206.24
  5. Step 5: Solve for x
    x = 3,224,206.24/2,519.64
  6. Step 6: Final answer
    x = 1,279.63

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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.