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Finding the Fourth Proportional to 3,029.44, 4,542.36 and 948.88

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Solution

The fourth proportional to 3,029.44, 4,542.36 and 948.88 is: 1,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.44 : 4,542.36 = 948.88 : x
  2. Step 2: Convert to fraction form
    3,029.44/4,542.36 = 948.88/x
  3. Step 3: Cross multiply
    3,029.44x = 4,542.36 × 948.88
  4. Step 4: Simplify right side
    3,029.44x = 4,310,154.56
  5. Step 5: Solve for x
    x = 4,310,154.56/3,029.44
  6. Step 6: Final answer
    x = 1,422.76

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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.