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Finding the Fourth Proportional to 2,840.52, 4,260 and 892.68

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Solution

The fourth proportional to 2,840.52, 4,260 and 892.68 is: 1,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.52 : 4,260 = 892.68 : x
  2. Step 2: Convert to fraction form
    2,840.52/4,260 = 892.68/x
  3. Step 3: Cross multiply
    2,840.52x = 4,260 × 892.68
  4. Step 4: Simplify right side
    2,840.52x = 3,802,816.80
  5. Step 5: Solve for x
    x = 3,802,816.80/2,840.52
  6. Step 6: Final answer
    x = 1,338.77

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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.