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Finding the Fourth Proportional to 3,027.94, 4,542.70 and 948.02

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Solution

The fourth proportional to 3,027.94, 4,542.70 and 948.02 is: 1,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.94 : 4,542.70 = 948.02 : x
  2. Step 2: Convert to fraction form
    3,027.94/4,542.70 = 948.02/x
  3. Step 3: Cross multiply
    3,027.94x = 4,542.70 × 948.02
  4. Step 4: Simplify right side
    3,027.94x = 4,306,570.45
  5. Step 5: Solve for x
    x = 4,306,570.45/3,027.94
  6. Step 6: Final answer
    x = 1,422.28

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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.