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Finding the Fourth Proportional to 2,114.62, 3,171.54 and 575.26

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Solution

The fourth proportional to 2,114.62, 3,171.54 and 575.26 is: 862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.62 : 3,171.54 = 575.26 : x
  2. Step 2: Convert to fraction form
    2,114.62/3,171.54 = 575.26/x
  3. Step 3: Cross multiply
    2,114.62x = 3,171.54 × 575.26
  4. Step 4: Simplify right side
    2,114.62x = 1,824,460.10
  5. Step 5: Solve for x
    x = 1,824,460.10/2,114.62
  6. Step 6: Final answer
    x = 862.78

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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.