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Finding the Fourth Proportional to 2,236.02, 3,353.88 and 676.07

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Solution

The fourth proportional to 2,236.02, 3,353.88 and 676.07 is: 1,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.02 : 3,353.88 = 676.07 : x
  2. Step 2: Convert to fraction form
    2,236.02/3,353.88 = 676.07/x
  3. Step 3: Cross multiply
    2,236.02x = 3,353.88 × 676.07
  4. Step 4: Simplify right side
    2,236.02x = 2,267,440.88
  5. Step 5: Solve for x
    x = 2,267,440.88/2,236.02
  6. Step 6: Final answer
    x = 1,014.05

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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.