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Finding the Fourth Proportional to 3,331.77, 4,997.97 and 866.58

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Solution

The fourth proportional to 3,331.77, 4,997.97 and 866.58 is: 1,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331.77 : 4,997.97 = 866.58 : x
  2. Step 2: Convert to fraction form
    3,331.77/4,997.97 = 866.58/x
  3. Step 3: Cross multiply
    3,331.77x = 4,997.97 × 866.58
  4. Step 4: Simplify right side
    3,331.77x = 4,331,140.84
  5. Step 5: Solve for x
    x = 4,331,140.84/3,331.77
  6. Step 6: Final answer
    x = 1,299.95

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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.