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Finding the Fourth Proportional to 2,213.57, 3,321.18 and 980.10

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Solution

The fourth proportional to 2,213.57, 3,321.18 and 980.10 is: 1,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.57 : 3,321.18 = 980.10 : x
  2. Step 2: Convert to fraction form
    2,213.57/3,321.18 = 980.10/x
  3. Step 3: Cross multiply
    2,213.57x = 3,321.18 × 980.10
  4. Step 4: Simplify right side
    2,213.57x = 3,255,088.52
  5. Step 5: Solve for x
    x = 3,255,088.52/2,213.57
  6. Step 6: Final answer
    x = 1,470.51

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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.