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Finding the Fourth Proportional to 2,773.40, 3,827.93 and 1,829.36

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Solution

The fourth proportional to 2,773.40, 3,827.93 and 1,829.36 is: 2,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.40 : 3,827.93 = 1,829.36 : x
  2. Step 2: Convert to fraction form
    2,773.40/3,827.93 = 1,829.36/x
  3. Step 3: Cross multiply
    2,773.40x = 3,827.93 × 1,829.36
  4. Step 4: Simplify right side
    2,773.40x = 7,002,662.02
  5. Step 5: Solve for x
    x = 7,002,662.02/2,773.40
  6. Step 6: Final answer
    x = 2,524.94

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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.