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Finding the Fourth Proportional to 2,736.34, 3,767.02 and 2,610.80

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Solution

The fourth proportional to 2,736.34, 3,767.02 and 2,610.80 is: 3,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.34 : 3,767.02 = 2,610.80 : x
  2. Step 2: Convert to fraction form
    2,736.34/3,767.02 = 2,610.80/x
  3. Step 3: Cross multiply
    2,736.34x = 3,767.02 × 2,610.80
  4. Step 4: Simplify right side
    2,736.34x = 9,834,922.76
  5. Step 5: Solve for x
    x = 9,834,922.76/2,736.34
  6. Step 6: Final answer
    x = 3,594.20

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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.