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Finding the Fourth Proportional to 2,236.06, 3,353.88 and 697.06

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Solution

The fourth proportional to 2,236.06, 3,353.88 and 697.06 is: 1,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.06 : 3,353.88 = 697.06 : x
  2. Step 2: Convert to fraction form
    2,236.06/3,353.88 = 697.06/x
  3. Step 3: Cross multiply
    2,236.06x = 3,353.88 × 697.06
  4. Step 4: Simplify right side
    2,236.06x = 2,337,855.59
  5. Step 5: Solve for x
    x = 2,337,855.59/2,236.06
  6. Step 6: Final answer
    x = 1,045.52

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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.