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Finding the Fourth Proportional to 2,871.88, 3,963.23 and 1,613.21

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Solution

The fourth proportional to 2,871.88, 3,963.23 and 1,613.21 is: 2,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.88 : 3,963.23 = 1,613.21 : x
  2. Step 2: Convert to fraction form
    2,871.88/3,963.23 = 1,613.21/x
  3. Step 3: Cross multiply
    2,871.88x = 3,963.23 × 1,613.21
  4. Step 4: Simplify right side
    2,871.88x = 6,393,522.27
  5. Step 5: Solve for x
    x = 6,393,522.27/2,871.88
  6. Step 6: Final answer
    x = 2,226.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.