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Finding the Fourth Proportional to 2,558.72, 3,837.38 and 915.03

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Solution

The fourth proportional to 2,558.72, 3,837.38 and 915.03 is: 1,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.72 : 3,837.38 = 915.03 : x
  2. Step 2: Convert to fraction form
    2,558.72/3,837.38 = 915.03/x
  3. Step 3: Cross multiply
    2,558.72x = 3,837.38 × 915.03
  4. Step 4: Simplify right side
    2,558.72x = 3,511,313.25
  5. Step 5: Solve for x
    x = 3,511,313.25/2,558.72
  6. Step 6: Final answer
    x = 1,372.29

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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.