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Finding the Fourth Proportional to 2,647.42, 3,970.44 and 892.14

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Solution

The fourth proportional to 2,647.42, 3,970.44 and 892.14 is: 1,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.42 : 3,970.44 = 892.14 : x
  2. Step 2: Convert to fraction form
    2,647.42/3,970.44 = 892.14/x
  3. Step 3: Cross multiply
    2,647.42x = 3,970.44 × 892.14
  4. Step 4: Simplify right side
    2,647.42x = 3,542,188.34
  5. Step 5: Solve for x
    x = 3,542,188.34/2,647.42
  6. Step 6: Final answer
    x = 1,337.98

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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.