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Finding the Fourth Proportional to 2,738.52, 3,771.90 and 2,530.80

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Solution

The fourth proportional to 2,738.52, 3,771.90 and 2,530.80 is: 3,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.52 : 3,771.90 = 2,530.80 : x
  2. Step 2: Convert to fraction form
    2,738.52/3,771.90 = 2,530.80/x
  3. Step 3: Cross multiply
    2,738.52x = 3,771.90 × 2,530.80
  4. Step 4: Simplify right side
    2,738.52x = 9,545,924.52
  5. Step 5: Solve for x
    x = 9,545,924.52/2,738.52
  6. Step 6: Final answer
    x = 3,485.80

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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.