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Finding the Fourth Proportional to 2,837.53, 3,915.81 and 1,578.73

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Solution

The fourth proportional to 2,837.53, 3,915.81 and 1,578.73 is: 2,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.53 : 3,915.81 = 1,578.73 : x
  2. Step 2: Convert to fraction form
    2,837.53/3,915.81 = 1,578.73/x
  3. Step 3: Cross multiply
    2,837.53x = 3,915.81 × 1,578.73
  4. Step 4: Simplify right side
    2,837.53x = 6,181,979.25
  5. Step 5: Solve for x
    x = 6,181,979.25/2,837.53
  6. Step 6: Final answer
    x = 2,178.65

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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.