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Finding the Fourth Proportional to 2,238.48, 3,359.08 and 852.01

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Solution

The fourth proportional to 2,238.48, 3,359.08 and 852.01 is: 1,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.48 : 3,359.08 = 852.01 : x
  2. Step 2: Convert to fraction form
    2,238.48/3,359.08 = 852.01/x
  3. Step 3: Cross multiply
    2,238.48x = 3,359.08 × 852.01
  4. Step 4: Simplify right side
    2,238.48x = 2,861,969.75
  5. Step 5: Solve for x
    x = 2,861,969.75/2,238.48
  6. Step 6: Final answer
    x = 1,278.53

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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.