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Finding the Fourth Proportional to 3,057.66, 4,585.82 and 866.34

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Solution

The fourth proportional to 3,057.66, 4,585.82 and 866.34 is: 1,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.66 : 4,585.82 = 866.34 : x
  2. Step 2: Convert to fraction form
    3,057.66/4,585.82 = 866.34/x
  3. Step 3: Cross multiply
    3,057.66x = 4,585.82 × 866.34
  4. Step 4: Simplify right side
    3,057.66x = 3,972,874.97
  5. Step 5: Solve for x
    x = 3,972,874.97/3,057.66
  6. Step 6: Final answer
    x = 1,299.32

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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.