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Finding the Fourth Proportional to 3,057.79, 4,586.78 and 866.29

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Solution

The fourth proportional to 3,057.79, 4,586.78 and 866.29 is: 1,299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.79 : 4,586.78 = 866.29 : x
  2. Step 2: Convert to fraction form
    3,057.79/4,586.78 = 866.29/x
  3. Step 3: Cross multiply
    3,057.79x = 4,586.78 × 866.29
  4. Step 4: Simplify right side
    3,057.79x = 3,973,481.65
  5. Step 5: Solve for x
    x = 3,973,481.65/3,057.79
  6. Step 6: Final answer
    x = 1,299.46

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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.