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Finding the Fourth Proportional to 2,980.44, 4,472.10 and 1,337.46

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Solution

The fourth proportional to 2,980.44, 4,472.10 and 1,337.46 is: 2,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.44 : 4,472.10 = 1,337.46 : x
  2. Step 2: Convert to fraction form
    2,980.44/4,472.10 = 1,337.46/x
  3. Step 3: Cross multiply
    2,980.44x = 4,472.10 × 1,337.46
  4. Step 4: Simplify right side
    2,980.44x = 5,981,254.87
  5. Step 5: Solve for x
    x = 5,981,254.87/2,980.44
  6. Step 6: Final answer
    x = 2,006.84

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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.