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Finding the Fourth Proportional to 2,240.10, 3,359.70 and 852.48

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Solution

The fourth proportional to 2,240.10, 3,359.70 and 852.48 is: 1,278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.10 : 3,359.70 = 852.48 : x
  2. Step 2: Convert to fraction form
    2,240.10/3,359.70 = 852.48/x
  3. Step 3: Cross multiply
    2,240.10x = 3,359.70 × 852.48
  4. Step 4: Simplify right side
    2,240.10x = 2,864,077.06
  5. Step 5: Solve for x
    x = 2,864,077.06/2,240.10
  6. Step 6: Final answer
    x = 1,278.55

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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.