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Finding the Fourth Proportional to 2,773.88, 3,827.82 and 1,594.68

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Solution

The fourth proportional to 2,773.88, 3,827.82 and 1,594.68 is: 2,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.88 : 3,827.82 = 1,594.68 : x
  2. Step 2: Convert to fraction form
    2,773.88/3,827.82 = 1,594.68/x
  3. Step 3: Cross multiply
    2,773.88x = 3,827.82 × 1,594.68
  4. Step 4: Simplify right side
    2,773.88x = 6,104,148.00
  5. Step 5: Solve for x
    x = 6,104,148.00/2,773.88
  6. Step 6: Final answer
    x = 2,200.58

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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.