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Finding the Fourth Proportional to 2,837.65, 3,915.87 and 1,578.64

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Solution

The fourth proportional to 2,837.65, 3,915.87 and 1,578.64 is: 2,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.65 : 3,915.87 = 1,578.64 : x
  2. Step 2: Convert to fraction form
    2,837.65/3,915.87 = 1,578.64/x
  3. Step 3: Cross multiply
    2,837.65x = 3,915.87 × 1,578.64
  4. Step 4: Simplify right side
    2,837.65x = 6,181,749.02
  5. Step 5: Solve for x
    x = 6,181,749.02/2,837.65
  6. Step 6: Final answer
    x = 2,178.47

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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.