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Finding the Fourth Proportional to 2,728.50, 4,092.75 and 1,495.68

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Solution

The fourth proportional to 2,728.50, 4,092.75 and 1,495.68 is: 2,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.50 : 4,092.75 = 1,495.68 : x
  2. Step 2: Convert to fraction form
    2,728.50/4,092.75 = 1,495.68/x
  3. Step 3: Cross multiply
    2,728.50x = 4,092.75 × 1,495.68
  4. Step 4: Simplify right side
    2,728.50x = 6,121,444.32
  5. Step 5: Solve for x
    x = 6,121,444.32/2,728.50
  6. Step 6: Final answer
    x = 2,243.52

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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.