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Finding the Fourth Proportional to 1,837.17, 2,755.55 and 667.13

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Solution

The fourth proportional to 1,837.17, 2,755.55 and 667.13 is: 1,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.17 : 2,755.55 = 667.13 : x
  2. Step 2: Convert to fraction form
    1,837.17/2,755.55 = 667.13/x
  3. Step 3: Cross multiply
    1,837.17x = 2,755.55 × 667.13
  4. Step 4: Simplify right side
    1,837.17x = 1,838,297.96
  5. Step 5: Solve for x
    x = 1,838,297.96/1,837.17
  6. Step 6: Final answer
    x = 1,000.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.