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Finding the Fourth Proportional to 2,076.22, 3,112.51 and 980.90

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Solution

The fourth proportional to 2,076.22, 3,112.51 and 980.90 is: 1,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.22 : 3,112.51 = 980.90 : x
  2. Step 2: Convert to fraction form
    2,076.22/3,112.51 = 980.90/x
  3. Step 3: Cross multiply
    2,076.22x = 3,112.51 × 980.90
  4. Step 4: Simplify right side
    2,076.22x = 3,053,061.06
  5. Step 5: Solve for x
    x = 3,053,061.06/2,076.22
  6. Step 6: Final answer
    x = 1,470.49

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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.