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Finding the Fourth Proportional to 2,827.75, 3,902.48 and 1,585.75

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Solution

The fourth proportional to 2,827.75, 3,902.48 and 1,585.75 is: 2,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.75 : 3,902.48 = 1,585.75 : x
  2. Step 2: Convert to fraction form
    2,827.75/3,902.48 = 1,585.75/x
  3. Step 3: Cross multiply
    2,827.75x = 3,902.48 × 1,585.75
  4. Step 4: Simplify right side
    2,827.75x = 6,188,357.66
  5. Step 5: Solve for x
    x = 6,188,357.66/2,827.75
  6. Step 6: Final answer
    x = 2,188.44

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