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Finding the Fourth Proportional to 2,771.52, 3,824.72 and 1,592.64

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Solution

The fourth proportional to 2,771.52, 3,824.72 and 1,592.64 is: 2,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.52 : 3,824.72 = 1,592.64 : x
  2. Step 2: Convert to fraction form
    2,771.52/3,824.72 = 1,592.64/x
  3. Step 3: Cross multiply
    2,771.52x = 3,824.72 × 1,592.64
  4. Step 4: Simplify right side
    2,771.52x = 6,091,402.06
  5. Step 5: Solve for x
    x = 6,091,402.06/2,771.52
  6. Step 6: Final answer
    x = 2,197.86

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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.