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Finding the Fourth Proportional to 2,837.50, 3,915.61 and 1,578.49

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Solution

The fourth proportional to 2,837.50, 3,915.61 and 1,578.49 is: 2,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.50 : 3,915.61 = 1,578.49 : x
  2. Step 2: Convert to fraction form
    2,837.50/3,915.61 = 1,578.49/x
  3. Step 3: Cross multiply
    2,837.50x = 3,915.61 × 1,578.49
  4. Step 4: Simplify right side
    2,837.50x = 6,180,751.23
  5. Step 5: Solve for x
    x = 6,180,751.23/2,837.50
  6. Step 6: Final answer
    x = 2,178.24

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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.