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Finding the Fourth Proportional to 2,134.50, 3,203.10 and 980.28

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Solution

The fourth proportional to 2,134.50, 3,203.10 and 980.28 is: 1,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.50 : 3,203.10 = 980.28 : x
  2. Step 2: Convert to fraction form
    2,134.50/3,203.10 = 980.28/x
  3. Step 3: Cross multiply
    2,134.50x = 3,203.10 × 980.28
  4. Step 4: Simplify right side
    2,134.50x = 3,139,934.87
  5. Step 5: Solve for x
    x = 3,139,934.87/2,134.50
  6. Step 6: Final answer
    x = 1,471.04

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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.