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Finding the Fourth Proportional to 3,362.98, 5,044.78 and 897.80

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Solution

The fourth proportional to 3,362.98, 5,044.78 and 897.80 is: 1,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.98 : 5,044.78 = 897.80 : x
  2. Step 2: Convert to fraction form
    3,362.98/5,044.78 = 897.80/x
  3. Step 3: Cross multiply
    3,362.98x = 5,044.78 × 897.80
  4. Step 4: Simplify right side
    3,362.98x = 4,529,203.48
  5. Step 5: Solve for x
    x = 4,529,203.48/3,362.98
  6. Step 6: Final answer
    x = 1,346.78

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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.