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Finding the Fourth Proportional to 2,145.43, 3,218.18 and 606.43

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Solution

The fourth proportional to 2,145.43, 3,218.18 and 606.43 is: 909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.43 : 3,218.18 = 606.43 : x
  2. Step 2: Convert to fraction form
    2,145.43/3,218.18 = 606.43/x
  3. Step 3: Cross multiply
    2,145.43x = 3,218.18 × 606.43
  4. Step 4: Simplify right side
    2,145.43x = 1,951,597.87
  5. Step 5: Solve for x
    x = 1,951,597.87/2,145.43
  6. Step 6: Final answer
    x = 909.65

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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.