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Finding the Fourth Proportional to 2,827.52, 3,902.19 and 1,648.34

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Solution

The fourth proportional to 2,827.52, 3,902.19 and 1,648.34 is: 2,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.52 : 3,902.19 = 1,648.34 : x
  2. Step 2: Convert to fraction form
    2,827.52/3,902.19 = 1,648.34/x
  3. Step 3: Cross multiply
    2,827.52x = 3,902.19 × 1,648.34
  4. Step 4: Simplify right side
    2,827.52x = 6,432,135.86
  5. Step 5: Solve for x
    x = 6,432,135.86/2,827.52
  6. Step 6: Final answer
    x = 2,274.83

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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.