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Finding the Fourth Proportional to 2,143.89, 3,216.39 and 604.89

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Solution

The fourth proportional to 2,143.89, 3,216.39 and 604.89 is: 907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.89 : 3,216.39 = 604.89 : x
  2. Step 2: Convert to fraction form
    2,143.89/3,216.39 = 604.89/x
  3. Step 3: Cross multiply
    2,143.89x = 3,216.39 × 604.89
  4. Step 4: Simplify right side
    2,143.89x = 1,945,562.15
  5. Step 5: Solve for x
    x = 1,945,562.15/2,143.89
  6. Step 6: Final answer
    x = 907.49

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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.