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Finding the Fourth Proportional to 2,837.67, 3,915.78 and 1,578.67

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Solution

The fourth proportional to 2,837.67, 3,915.78 and 1,578.67 is: 2,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.67 : 3,915.78 = 1,578.67 : x
  2. Step 2: Convert to fraction form
    2,837.67/3,915.78 = 1,578.67/x
  3. Step 3: Cross multiply
    2,837.67x = 3,915.78 × 1,578.67
  4. Step 4: Simplify right side
    2,837.67x = 6,181,724.41
  5. Step 5: Solve for x
    x = 6,181,724.41/2,837.67
  6. Step 6: Final answer
    x = 2,178.45

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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.