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Finding the Fourth Proportional to 2,173.24, 2,996.90 and 1,387

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Solution

The fourth proportional to 2,173.24, 2,996.90 and 1,387 is: 1,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.24 : 2,996.90 = 1,387 : x
  2. Step 2: Convert to fraction form
    2,173.24/2,996.90 = 1,387/x
  3. Step 3: Cross multiply
    2,173.24x = 2,996.90 × 1,387
  4. Step 4: Simplify right side
    2,173.24x = 4,156,700.30
  5. Step 5: Solve for x
    x = 4,156,700.30/2,173.24
  6. Step 6: Final answer
    x = 1,912.67

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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.