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Finding the Fourth Proportional to 2,296.02, 3,438.90 and 1,644.78

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Solution

The fourth proportional to 2,296.02, 3,438.90 and 1,644.78 is: 2,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.02 : 3,438.90 = 1,644.78 : x
  2. Step 2: Convert to fraction form
    2,296.02/3,438.90 = 1,644.78/x
  3. Step 3: Cross multiply
    2,296.02x = 3,438.90 × 1,644.78
  4. Step 4: Simplify right side
    2,296.02x = 5,656,233.94
  5. Step 5: Solve for x
    x = 5,656,233.94/2,296.02
  6. Step 6: Final answer
    x = 2,463.50

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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.