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Finding the Fourth Proportional to 2,111.78, 3,167.46 and 725.16

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Solution

The fourth proportional to 2,111.78, 3,167.46 and 725.16 is: 1,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.78 : 3,167.46 = 725.16 : x
  2. Step 2: Convert to fraction form
    2,111.78/3,167.46 = 725.16/x
  3. Step 3: Cross multiply
    2,111.78x = 3,167.46 × 725.16
  4. Step 4: Simplify right side
    2,111.78x = 2,296,915.29
  5. Step 5: Solve for x
    x = 2,296,915.29/2,111.78
  6. Step 6: Final answer
    x = 1,087.67

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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.