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Finding the Fourth Proportional to 1,596.28, 2,202.90 and 897.88

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Solution

The fourth proportional to 1,596.28, 2,202.90 and 897.88 is: 1,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.28 : 2,202.90 = 897.88 : x
  2. Step 2: Convert to fraction form
    1,596.28/2,202.90 = 897.88/x
  3. Step 3: Cross multiply
    1,596.28x = 2,202.90 × 897.88
  4. Step 4: Simplify right side
    1,596.28x = 1,977,939.85
  5. Step 5: Solve for x
    x = 1,977,939.85/1,596.28
  6. Step 6: Final answer
    x = 1,239.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.