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Finding the Fourth Proportional to 2,550.02, 3,824 and 1,728.52

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Solution

The fourth proportional to 2,550.02, 3,824 and 1,728.52 is: 2,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.02 : 3,824 = 1,728.52 : x
  2. Step 2: Convert to fraction form
    2,550.02/3,824 = 1,728.52/x
  3. Step 3: Cross multiply
    2,550.02x = 3,824 × 1,728.52
  4. Step 4: Simplify right side
    2,550.02x = 6,609,860.48
  5. Step 5: Solve for x
    x = 6,609,860.48/2,550.02
  6. Step 6: Final answer
    x = 2,592.08

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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.