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Finding the Fourth Proportional to 2,773.52, 3,828.11 and 1,829.48

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Solution

The fourth proportional to 2,773.52, 3,828.11 and 1,829.48 is: 2,525.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.52 : 3,828.11 = 1,829.48 : x
  2. Step 2: Convert to fraction form
    2,773.52/3,828.11 = 1,829.48/x
  3. Step 3: Cross multiply
    2,773.52x = 3,828.11 × 1,829.48
  4. Step 4: Simplify right side
    2,773.52x = 7,003,451.11
  5. Step 5: Solve for x
    x = 7,003,451.11/2,773.52
  6. Step 6: Final answer
    x = 2,525.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.