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Finding the Fourth Proportional to 3,057.41, 4,586.07 and 866.14

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Solution

The fourth proportional to 3,057.41, 4,586.07 and 866.14 is: 1,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.41 : 4,586.07 = 866.14 : x
  2. Step 2: Convert to fraction form
    3,057.41/4,586.07 = 866.14/x
  3. Step 3: Cross multiply
    3,057.41x = 4,586.07 × 866.14
  4. Step 4: Simplify right side
    3,057.41x = 3,972,178.67
  5. Step 5: Solve for x
    x = 3,972,178.67/3,057.41
  6. Step 6: Final answer
    x = 1,299.20

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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.