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Finding the Fourth Proportional to 2,026.38, 2,793.02 and 1,605.98

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Solution

The fourth proportional to 2,026.38, 2,793.02 and 1,605.98 is: 2,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.38 : 2,793.02 = 1,605.98 : x
  2. Step 2: Convert to fraction form
    2,026.38/2,793.02 = 1,605.98/x
  3. Step 3: Cross multiply
    2,026.38x = 2,793.02 × 1,605.98
  4. Step 4: Simplify right side
    2,026.38x = 4,485,534.26
  5. Step 5: Solve for x
    x = 4,485,534.26/2,026.38
  6. Step 6: Final answer
    x = 2,213.57

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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.