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Finding the Fourth Proportional to 2,611.53, 3,915.72 and 1,028.36

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Solution

The fourth proportional to 2,611.53, 3,915.72 and 1,028.36 is: 1,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.53 : 3,915.72 = 1,028.36 : x
  2. Step 2: Convert to fraction form
    2,611.53/3,915.72 = 1,028.36/x
  3. Step 3: Cross multiply
    2,611.53x = 3,915.72 × 1,028.36
  4. Step 4: Simplify right side
    2,611.53x = 4,026,769.82
  5. Step 5: Solve for x
    x = 4,026,769.82/2,611.53
  6. Step 6: Final answer
    x = 1,541.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.