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Finding the Fourth Proportional to 2,204.94, 3,307.40 and 665.94

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Solution

The fourth proportional to 2,204.94, 3,307.40 and 665.94 is: 998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.94 : 3,307.40 = 665.94 : x
  2. Step 2: Convert to fraction form
    2,204.94/3,307.40 = 665.94/x
  3. Step 3: Cross multiply
    2,204.94x = 3,307.40 × 665.94
  4. Step 4: Simplify right side
    2,204.94x = 2,202,529.96
  5. Step 5: Solve for x
    x = 2,202,529.96/2,204.94
  6. Step 6: Final answer
    x = 998.91

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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.