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Finding the Fourth Proportional to 1,837.20, 2,755.78 and 538.62

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Solution

The fourth proportional to 1,837.20, 2,755.78 and 538.62 is: 807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.20 : 2,755.78 = 538.62 : x
  2. Step 2: Convert to fraction form
    1,837.20/2,755.78 = 538.62/x
  3. Step 3: Cross multiply
    1,837.20x = 2,755.78 × 538.62
  4. Step 4: Simplify right side
    1,837.20x = 1,484,318.22
  5. Step 5: Solve for x
    x = 1,484,318.22/1,837.20
  6. Step 6: Final answer
    x = 807.92

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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.