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Finding the Fourth Proportional to 2,563.55, 3,845.25 and 714.59

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Solution

The fourth proportional to 2,563.55, 3,845.25 and 714.59 is: 1,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.55 : 3,845.25 = 714.59 : x
  2. Step 2: Convert to fraction form
    2,563.55/3,845.25 = 714.59/x
  3. Step 3: Cross multiply
    2,563.55x = 3,845.25 × 714.59
  4. Step 4: Simplify right side
    2,563.55x = 2,747,757.97
  5. Step 5: Solve for x
    x = 2,747,757.97/2,563.55
  6. Step 6: Final answer
    x = 1,071.86

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1.5x scale

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.