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Finding the Fourth Proportional to 2,850.52, 3,944.50 and 2,430.20

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Solution

The fourth proportional to 2,850.52, 3,944.50 and 2,430.20 is: 3,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.52 : 3,944.50 = 2,430.20 : x
  2. Step 2: Convert to fraction form
    2,850.52/3,944.50 = 2,430.20/x
  3. Step 3: Cross multiply
    2,850.52x = 3,944.50 × 2,430.20
  4. Step 4: Simplify right side
    2,850.52x = 9,585,927.69
  5. Step 5: Solve for x
    x = 9,585,927.69/2,850.52
  6. Step 6: Final answer
    x = 3,362.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.