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Finding the Fourth Proportional to 4,664.99, 6,997.49 and 1,202.24

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Solution

The fourth proportional to 4,664.99, 6,997.49 and 1,202.24 is: 1,803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.99 : 6,997.49 = 1,202.24 : x
  2. Step 2: Convert to fraction form
    4,664.99/6,997.49 = 1,202.24/x
  3. Step 3: Cross multiply
    4,664.99x = 6,997.49 × 1,202.24
  4. Step 4: Simplify right side
    4,664.99x = 8,412,678.37
  5. Step 5: Solve for x
    x = 8,412,678.37/4,664.99
  6. Step 6: Final answer
    x = 1,803.36

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Similar ratio
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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.