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Finding the Fourth Proportional to 3,174.99, 4,762.44 and 866.49

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Solution

The fourth proportional to 3,174.99, 4,762.44 and 866.49 is: 1,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.99 : 4,762.44 = 866.49 : x
  2. Step 2: Convert to fraction form
    3,174.99/4,762.44 = 866.49/x
  3. Step 3: Cross multiply
    3,174.99x = 4,762.44 × 866.49
  4. Step 4: Simplify right side
    3,174.99x = 4,126,606.64
  5. Step 5: Solve for x
    x = 4,126,606.64/3,174.99
  6. Step 6: Final answer
    x = 1,299.72

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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.