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Finding the Fourth Proportional to 3,028.28, 4,542.18 and 948.26

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Solution

The fourth proportional to 3,028.28, 4,542.18 and 948.26 is: 1,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.28 : 4,542.18 = 948.26 : x
  2. Step 2: Convert to fraction form
    3,028.28/4,542.18 = 948.26/x
  3. Step 3: Cross multiply
    3,028.28x = 4,542.18 × 948.26
  4. Step 4: Simplify right side
    3,028.28x = 4,307,167.61
  5. Step 5: Solve for x
    x = 4,307,167.61/3,028.28
  6. Step 6: Final answer
    x = 1,422.31

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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.