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Finding the Fourth Proportional to 2,296.60, 3,443.09 and 980.56

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Solution

The fourth proportional to 2,296.60, 3,443.09 and 980.56 is: 1,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.60 : 3,443.09 = 980.56 : x
  2. Step 2: Convert to fraction form
    2,296.60/3,443.09 = 980.56/x
  3. Step 3: Cross multiply
    2,296.60x = 3,443.09 × 980.56
  4. Step 4: Simplify right side
    2,296.60x = 3,376,156.33
  5. Step 5: Solve for x
    x = 3,376,156.33/2,296.60
  6. Step 6: Final answer
    x = 1,470.07

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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.