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Finding the Fourth Proportional to 2,147.12, 3,218.44 and 915.32

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Solution

The fourth proportional to 2,147.12, 3,218.44 and 915.32 is: 1,372.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.12 : 3,218.44 = 915.32 : x
  2. Step 2: Convert to fraction form
    2,147.12/3,218.44 = 915.32/x
  3. Step 3: Cross multiply
    2,147.12x = 3,218.44 × 915.32
  4. Step 4: Simplify right side
    2,147.12x = 2,945,902.50
  5. Step 5: Solve for x
    x = 2,945,902.50/2,147.12
  6. Step 6: Final answer
    x = 1,372.03

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Why These Related Problems?

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