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Finding the Fourth Proportional to 2,771.72, 3,823.92 and 1,592.16

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Solution

The fourth proportional to 2,771.72, 3,823.92 and 1,592.16 is: 2,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.72 : 3,823.92 = 1,592.16 : x
  2. Step 2: Convert to fraction form
    2,771.72/3,823.92 = 1,592.16/x
  3. Step 3: Cross multiply
    2,771.72x = 3,823.92 × 1,592.16
  4. Step 4: Simplify right side
    2,771.72x = 6,088,292.47
  5. Step 5: Solve for x
    x = 6,088,292.47/2,771.72
  6. Step 6: Final answer
    x = 2,196.58

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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.