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Finding the Fourth Proportional to 1,793.38, 2,686.38 and 1,588.48

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Solution

The fourth proportional to 1,793.38, 2,686.38 and 1,588.48 is: 2,379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.38 : 2,686.38 = 1,588.48 : x
  2. Step 2: Convert to fraction form
    1,793.38/2,686.38 = 1,588.48/x
  3. Step 3: Cross multiply
    1,793.38x = 2,686.38 × 1,588.48
  4. Step 4: Simplify right side
    1,793.38x = 4,267,260.90
  5. Step 5: Solve for x
    x = 4,267,260.90/1,793.38
  6. Step 6: Final answer
    x = 2,379.45

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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.