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Finding the Fourth Proportional to 2,050.92, 3,076.38 and 955.80

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Solution

The fourth proportional to 2,050.92, 3,076.38 and 955.80 is: 1,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.92 : 3,076.38 = 955.80 : x
  2. Step 2: Convert to fraction form
    2,050.92/3,076.38 = 955.80/x
  3. Step 3: Cross multiply
    2,050.92x = 3,076.38 × 955.80
  4. Step 4: Simplify right side
    2,050.92x = 2,940,404.00
  5. Step 5: Solve for x
    x = 2,940,404.00/2,050.92
  6. Step 6: Final answer
    x = 1,433.70

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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.