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Finding the Fourth Proportional to 2,052.09, 3,077.49 and 665.13

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Solution

The fourth proportional to 2,052.09, 3,077.49 and 665.13 is: 997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.09 : 3,077.49 = 665.13 : x
  2. Step 2: Convert to fraction form
    2,052.09/3,077.49 = 665.13/x
  3. Step 3: Cross multiply
    2,052.09x = 3,077.49 × 665.13
  4. Step 4: Simplify right side
    2,052.09x = 2,046,930.92
  5. Step 5: Solve for x
    x = 2,046,930.92/2,052.09
  6. Step 6: Final answer
    x = 997.49

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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.