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Finding the Fourth Proportional to 2,186.73, 3,018.44 and 1,290.44

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Solution

The fourth proportional to 2,186.73, 3,018.44 and 1,290.44 is: 1,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.73 : 3,018.44 = 1,290.44 : x
  2. Step 2: Convert to fraction form
    2,186.73/3,018.44 = 1,290.44/x
  3. Step 3: Cross multiply
    2,186.73x = 3,018.44 × 1,290.44
  4. Step 4: Simplify right side
    2,186.73x = 3,895,126.49
  5. Step 5: Solve for x
    x = 3,895,126.49/2,186.73
  6. Step 6: Final answer
    x = 1,781.26

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