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Finding the Fourth Proportional to 1,600.38, 2,388.78 and 1,486.26

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Solution

The fourth proportional to 1,600.38, 2,388.78 and 1,486.26 is: 2,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.38 : 2,388.78 = 1,486.26 : x
  2. Step 2: Convert to fraction form
    1,600.38/2,388.78 = 1,486.26/x
  3. Step 3: Cross multiply
    1,600.38x = 2,388.78 × 1,486.26
  4. Step 4: Simplify right side
    1,600.38x = 3,550,348.16
  5. Step 5: Solve for x
    x = 3,550,348.16/1,600.38
  6. Step 6: Final answer
    x = 2,218.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.