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Finding the Fourth Proportional to 2,578.36, 3,867.51 and 630.58

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Solution

The fourth proportional to 2,578.36, 3,867.51 and 630.58 is: 945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.36 : 3,867.51 = 630.58 : x
  2. Step 2: Convert to fraction form
    2,578.36/3,867.51 = 630.58/x
  3. Step 3: Cross multiply
    2,578.36x = 3,867.51 × 630.58
  4. Step 4: Simplify right side
    2,578.36x = 2,438,772.09
  5. Step 5: Solve for x
    x = 2,438,772.09/2,578.36
  6. Step 6: Final answer
    x = 945.86

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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.