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Finding the Fourth Proportional to 2,523.78, 3,771.17 and 1,927.52

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Solution

The fourth proportional to 2,523.78, 3,771.17 and 1,927.52 is: 2,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.78 : 3,771.17 = 1,927.52 : x
  2. Step 2: Convert to fraction form
    2,523.78/3,771.17 = 1,927.52/x
  3. Step 3: Cross multiply
    2,523.78x = 3,771.17 × 1,927.52
  4. Step 4: Simplify right side
    2,523.78x = 7,269,005.60
  5. Step 5: Solve for x
    x = 7,269,005.60/2,523.78
  6. Step 6: Final answer
    x = 2,880.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.