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Finding the Fourth Proportional to 2,104.55, 3,157.02 and 717.42

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Solution

The fourth proportional to 2,104.55, 3,157.02 and 717.42 is: 1,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.55 : 3,157.02 = 717.42 : x
  2. Step 2: Convert to fraction form
    2,104.55/3,157.02 = 717.42/x
  3. Step 3: Cross multiply
    2,104.55x = 3,157.02 × 717.42
  4. Step 4: Simplify right side
    2,104.55x = 2,264,909.29
  5. Step 5: Solve for x
    x = 2,264,909.29/2,104.55
  6. Step 6: Final answer
    x = 1,076.20

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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.