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Finding the Fourth Proportional to 2,578.48, 3,864.54 and 1,016.91

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Solution

The fourth proportional to 2,578.48, 3,864.54 and 1,016.91 is: 1,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.48 : 3,864.54 = 1,016.91 : x
  2. Step 2: Convert to fraction form
    2,578.48/3,864.54 = 1,016.91/x
  3. Step 3: Cross multiply
    2,578.48x = 3,864.54 × 1,016.91
  4. Step 4: Simplify right side
    2,578.48x = 3,929,889.37
  5. Step 5: Solve for x
    x = 3,929,889.37/2,578.48
  6. Step 6: Final answer
    x = 1,524.11

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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.