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Finding the Fourth Proportional to 3,029.37, 4,542.17 and 948.78

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Solution

The fourth proportional to 3,029.37, 4,542.17 and 948.78 is: 1,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.37 : 4,542.17 = 948.78 : x
  2. Step 2: Convert to fraction form
    3,029.37/4,542.17 = 948.78/x
  3. Step 3: Cross multiply
    3,029.37x = 4,542.17 × 948.78
  4. Step 4: Simplify right side
    3,029.37x = 4,309,515.31
  5. Step 5: Solve for x
    x = 4,309,515.31/3,029.37
  6. Step 6: Final answer
    x = 1,422.58

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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.