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Finding the Fourth Proportional to 2,771.25, 4,156.89 and 719.25

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Solution

The fourth proportional to 2,771.25, 4,156.89 and 719.25 is: 1,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.25 : 4,156.89 = 719.25 : x
  2. Step 2: Convert to fraction form
    2,771.25/4,156.89 = 719.25/x
  3. Step 3: Cross multiply
    2,771.25x = 4,156.89 × 719.25
  4. Step 4: Simplify right side
    2,771.25x = 2,989,843.13
  5. Step 5: Solve for x
    x = 2,989,843.13/2,771.25
  6. Step 6: Final answer
    x = 1,078.88

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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.