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Finding the Fourth Proportional to 2,080.76, 3,122.49 and 985.23

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Solution

The fourth proportional to 2,080.76, 3,122.49 and 985.23 is: 1,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.76 : 3,122.49 = 985.23 : x
  2. Step 2: Convert to fraction form
    2,080.76/3,122.49 = 985.23/x
  3. Step 3: Cross multiply
    2,080.76x = 3,122.49 × 985.23
  4. Step 4: Simplify right side
    2,080.76x = 3,076,370.82
  5. Step 5: Solve for x
    x = 3,076,370.82/2,080.76
  6. Step 6: Final answer
    x = 1,478.49

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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.