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Finding the Fourth Proportional to 3,057.59, 4,586.42 and 866.31

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Solution

The fourth proportional to 3,057.59, 4,586.42 and 866.31 is: 1,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.59 : 4,586.42 = 866.31 : x
  2. Step 2: Convert to fraction form
    3,057.59/4,586.42 = 866.31/x
  3. Step 3: Cross multiply
    3,057.59x = 4,586.42 × 866.31
  4. Step 4: Simplify right side
    3,057.59x = 3,973,272.28
  5. Step 5: Solve for x
    x = 3,973,272.28/3,057.59
  6. Step 6: Final answer
    x = 1,299.48

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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.