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Finding the Fourth Proportional to 2,519.14, 3,778.71 and 670.25

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Solution

The fourth proportional to 2,519.14, 3,778.71 and 670.25 is: 1,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.14 : 3,778.71 = 670.25 : x
  2. Step 2: Convert to fraction form
    2,519.14/3,778.71 = 670.25/x
  3. Step 3: Cross multiply
    2,519.14x = 3,778.71 × 670.25
  4. Step 4: Simplify right side
    2,519.14x = 2,532,693.56
  5. Step 5: Solve for x
    x = 2,532,693.56/2,519.14
  6. Step 6: Final answer
    x = 1,005.38

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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.