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Finding the Fourth Proportional to 1,840.48, 2,757.04 and 1,644.56

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Solution

The fourth proportional to 1,840.48, 2,757.04 and 1,644.56 is: 2,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.48 : 2,757.04 = 1,644.56 : x
  2. Step 2: Convert to fraction form
    1,840.48/2,757.04 = 1,644.56/x
  3. Step 3: Cross multiply
    1,840.48x = 2,757.04 × 1,644.56
  4. Step 4: Simplify right side
    1,840.48x = 4,534,117.70
  5. Step 5: Solve for x
    x = 4,534,117.70/1,840.48
  6. Step 6: Final answer
    x = 2,463.55

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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.