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Finding the Fourth Proportional to 2,997.70, 4,495.20 and 1,148.20

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Solution

The fourth proportional to 2,997.70, 4,495.20 and 1,148.20 is: 1,721.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.70 : 4,495.20 = 1,148.20 : x
  2. Step 2: Convert to fraction form
    2,997.70/4,495.20 = 1,148.20/x
  3. Step 3: Cross multiply
    2,997.70x = 4,495.20 × 1,148.20
  4. Step 4: Simplify right side
    2,997.70x = 5,161,388.64
  5. Step 5: Solve for x
    x = 5,161,388.64/2,997.70
  6. Step 6: Final answer
    x = 1,721.78

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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.