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Finding the Fourth Proportional to 2,236.03, 3,352.96 and 675.74

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Solution

The fourth proportional to 2,236.03, 3,352.96 and 675.74 is: 1,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.03 : 3,352.96 = 675.74 : x
  2. Step 2: Convert to fraction form
    2,236.03/3,352.96 = 675.74/x
  3. Step 3: Cross multiply
    2,236.03x = 3,352.96 × 675.74
  4. Step 4: Simplify right side
    2,236.03x = 2,265,713.27
  5. Step 5: Solve for x
    x = 2,265,713.27/2,236.03
  6. Step 6: Final answer
    x = 1,013.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.