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Finding the Fourth Proportional to 2,773.30, 3,827.16 and 1,594.60

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Solution

The fourth proportional to 2,773.30, 3,827.16 and 1,594.60 is: 2,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.30 : 3,827.16 = 1,594.60 : x
  2. Step 2: Convert to fraction form
    2,773.30/3,827.16 = 1,594.60/x
  3. Step 3: Cross multiply
    2,773.30x = 3,827.16 × 1,594.60
  4. Step 4: Simplify right side
    2,773.30x = 6,102,789.34
  5. Step 5: Solve for x
    x = 6,102,789.34/2,773.30
  6. Step 6: Final answer
    x = 2,200.55

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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.