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Finding the Fourth Proportional to 1,644.73, 2,270.15 and 1,015.76

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Solution

The fourth proportional to 1,644.73, 2,270.15 and 1,015.76 is: 1,402.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.73 : 2,270.15 = 1,015.76 : x
  2. Step 2: Convert to fraction form
    1,644.73/2,270.15 = 1,015.76/x
  3. Step 3: Cross multiply
    1,644.73x = 2,270.15 × 1,015.76
  4. Step 4: Simplify right side
    1,644.73x = 2,305,927.56
  5. Step 5: Solve for x
    x = 2,305,927.56/1,644.73
  6. Step 6: Final answer
    x = 1,402.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.