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Finding the Fourth Proportional to 2,840.64, 4,260.34 and 892.41

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Solution

The fourth proportional to 2,840.64, 4,260.34 and 892.41 is: 1,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.64 : 4,260.34 = 892.41 : x
  2. Step 2: Convert to fraction form
    2,840.64/4,260.34 = 892.41/x
  3. Step 3: Cross multiply
    2,840.64x = 4,260.34 × 892.41
  4. Step 4: Simplify right side
    2,840.64x = 3,801,970.02
  5. Step 5: Solve for x
    x = 3,801,970.02/2,840.64
  6. Step 6: Final answer
    x = 1,338.42

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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.