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Finding the Fourth Proportional to 2,858.11, 3,946.09 and 1,915.11

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Solution

The fourth proportional to 2,858.11, 3,946.09 and 1,915.11 is: 2,644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.11 : 3,946.09 = 1,915.11 : x
  2. Step 2: Convert to fraction form
    2,858.11/3,946.09 = 1,915.11/x
  3. Step 3: Cross multiply
    2,858.11x = 3,946.09 × 1,915.11
  4. Step 4: Simplify right side
    2,858.11x = 7,557,196.42
  5. Step 5: Solve for x
    x = 7,557,196.42/2,858.11
  6. Step 6: Final answer
    x = 2,644.12

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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.