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Finding the Fourth Proportional to 3,053.28, 4,578.31 and 1,078.54

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Solution

The fourth proportional to 3,053.28, 4,578.31 and 1,078.54 is: 1,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.28 : 4,578.31 = 1,078.54 : x
  2. Step 2: Convert to fraction form
    3,053.28/4,578.31 = 1,078.54/x
  3. Step 3: Cross multiply
    3,053.28x = 4,578.31 × 1,078.54
  4. Step 4: Simplify right side
    3,053.28x = 4,937,890.47
  5. Step 5: Solve for x
    x = 4,937,890.47/3,053.28
  6. Step 6: Final answer
    x = 1,617.24

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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.