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Finding the Fourth Proportional to 2,736.54, 3,774.06 and 1,895.76

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Solution

The fourth proportional to 2,736.54, 3,774.06 and 1,895.76 is: 2,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.54 : 3,774.06 = 1,895.76 : x
  2. Step 2: Convert to fraction form
    2,736.54/3,774.06 = 1,895.76/x
  3. Step 3: Cross multiply
    2,736.54x = 3,774.06 × 1,895.76
  4. Step 4: Simplify right side
    2,736.54x = 7,154,711.99
  5. Step 5: Solve for x
    x = 7,154,711.99/2,736.54
  6. Step 6: Final answer
    x = 2,614.51

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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.