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Finding the Fourth Proportional to 2,156.80, 3,236.30 and 925.24

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Solution

The fourth proportional to 2,156.80, 3,236.30 and 925.24 is: 1,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.80 : 3,236.30 = 925.24 : x
  2. Step 2: Convert to fraction form
    2,156.80/3,236.30 = 925.24/x
  3. Step 3: Cross multiply
    2,156.80x = 3,236.30 × 925.24
  4. Step 4: Simplify right side
    2,156.80x = 2,994,354.21
  5. Step 5: Solve for x
    x = 2,994,354.21/2,156.80
  6. Step 6: Final answer
    x = 1,388.33

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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.