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Finding the Fourth Proportional to 3,057.80, 4,586.70 and 978.28

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Solution

The fourth proportional to 3,057.80, 4,586.70 and 978.28 is: 1,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.80 : 4,586.70 = 978.28 : x
  2. Step 2: Convert to fraction form
    3,057.80/4,586.70 = 978.28/x
  3. Step 3: Cross multiply
    3,057.80x = 4,586.70 × 978.28
  4. Step 4: Simplify right side
    3,057.80x = 4,487,076.88
  5. Step 5: Solve for x
    x = 4,487,076.88/3,057.80
  6. Step 6: Final answer
    x = 1,467.42

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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.