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Finding the Fourth Proportional to 2,114.02, 3,170.67 and 575.02

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Solution

The fourth proportional to 2,114.02, 3,170.67 and 575.02 is: 862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.02 : 3,170.67 = 575.02 : x
  2. Step 2: Convert to fraction form
    2,114.02/3,170.67 = 575.02/x
  3. Step 3: Cross multiply
    2,114.02x = 3,170.67 × 575.02
  4. Step 4: Simplify right side
    2,114.02x = 1,823,198.66
  5. Step 5: Solve for x
    x = 1,823,198.66/2,114.02
  6. Step 6: Final answer
    x = 862.43

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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.