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Finding the Fourth Proportional to 2,052.76, 3,078.50 and 665.78

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Solution

The fourth proportional to 2,052.76, 3,078.50 and 665.78 is: 998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.76 : 3,078.50 = 665.78 : x
  2. Step 2: Convert to fraction form
    2,052.76/3,078.50 = 665.78/x
  3. Step 3: Cross multiply
    2,052.76x = 3,078.50 × 665.78
  4. Step 4: Simplify right side
    2,052.76x = 2,049,603.73
  5. Step 5: Solve for x
    x = 2,049,603.73/2,052.76
  6. Step 6: Final answer
    x = 998.46

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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.