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Finding the Fourth Proportional to 2,773.72, 3,827.82 and 1,594.90

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Solution

The fourth proportional to 2,773.72, 3,827.82 and 1,594.90 is: 2,201.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.72 : 3,827.82 = 1,594.90 : x
  2. Step 2: Convert to fraction form
    2,773.72/3,827.82 = 1,594.90/x
  3. Step 3: Cross multiply
    2,773.72x = 3,827.82 × 1,594.90
  4. Step 4: Simplify right side
    2,773.72x = 6,104,990.12
  5. Step 5: Solve for x
    x = 6,104,990.12/2,773.72
  6. Step 6: Final answer
    x = 2,201.01

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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.