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Finding the Fourth Proportional to 2,052.34, 3,077.87 and 665.30

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Solution

The fourth proportional to 2,052.34, 3,077.87 and 665.30 is: 997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.34 : 3,077.87 = 665.30 : x
  2. Step 2: Convert to fraction form
    2,052.34/3,077.87 = 665.30/x
  3. Step 3: Cross multiply
    2,052.34x = 3,077.87 × 665.30
  4. Step 4: Simplify right side
    2,052.34x = 2,047,711.28
  5. Step 5: Solve for x
    x = 2,047,711.28/2,052.34
  6. Step 6: Final answer
    x = 997.75

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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.