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Finding the Fourth Proportional to 2,649.14, 3,970.88 and 892.48

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Solution

The fourth proportional to 2,649.14, 3,970.88 and 892.48 is: 1,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.14 : 3,970.88 = 892.48 : x
  2. Step 2: Convert to fraction form
    2,649.14/3,970.88 = 892.48/x
  3. Step 3: Cross multiply
    2,649.14x = 3,970.88 × 892.48
  4. Step 4: Simplify right side
    2,649.14x = 3,543,930.98
  5. Step 5: Solve for x
    x = 3,543,930.98/2,649.14
  6. Step 6: Final answer
    x = 1,337.77

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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.