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Finding the Fourth Proportional to 2,056.54, 3,086.13 and 757.90

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Solution

The fourth proportional to 2,056.54, 3,086.13 and 757.90 is: 1,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.54 : 3,086.13 = 757.90 : x
  2. Step 2: Convert to fraction form
    2,056.54/3,086.13 = 757.90/x
  3. Step 3: Cross multiply
    2,056.54x = 3,086.13 × 757.90
  4. Step 4: Simplify right side
    2,056.54x = 2,338,977.93
  5. Step 5: Solve for x
    x = 2,338,977.93/2,056.54
  6. Step 6: Final answer
    x = 1,137.34

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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.