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Finding the Fourth Proportional to 3,000.38, 4,500.56 and 948.38

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Solution

The fourth proportional to 3,000.38, 4,500.56 and 948.38 is: 1,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.38 : 4,500.56 = 948.38 : x
  2. Step 2: Convert to fraction form
    3,000.38/4,500.56 = 948.38/x
  3. Step 3: Cross multiply
    3,000.38x = 4,500.56 × 948.38
  4. Step 4: Simplify right side
    3,000.38x = 4,268,220.96
  5. Step 5: Solve for x
    x = 4,268,220.96/3,000.38
  6. Step 6: Final answer
    x = 1,422.56

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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.