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Finding the Fourth Proportional to 2,832.21, 3,905.73 and 1,837.13

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Solution

The fourth proportional to 2,832.21, 3,905.73 and 1,837.13 is: 2,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.21 : 3,905.73 = 1,837.13 : x
  2. Step 2: Convert to fraction form
    2,832.21/3,905.73 = 1,837.13/x
  3. Step 3: Cross multiply
    2,832.21x = 3,905.73 × 1,837.13
  4. Step 4: Simplify right side
    2,832.21x = 7,175,314.23
  5. Step 5: Solve for x
    x = 7,175,314.23/2,832.21
  6. Step 6: Final answer
    x = 2,533.47

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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.