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Finding the Fourth Proportional to 2,147.09, 3,219.82 and 915.08

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Solution

The fourth proportional to 2,147.09, 3,219.82 and 915.08 is: 1,372.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.09 : 3,219.82 = 915.08 : x
  2. Step 2: Convert to fraction form
    2,147.09/3,219.82 = 915.08/x
  3. Step 3: Cross multiply
    2,147.09x = 3,219.82 × 915.08
  4. Step 4: Simplify right side
    2,147.09x = 2,946,392.89
  5. Step 5: Solve for x
    x = 2,946,392.89/2,147.09
  6. Step 6: Final answer
    x = 1,372.27

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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.