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Finding the Fourth Proportional to 2,096.36, 2,891.76 and 1,754.82

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Solution

The fourth proportional to 2,096.36, 2,891.76 and 1,754.82 is: 2,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.36 : 2,891.76 = 1,754.82 : x
  2. Step 2: Convert to fraction form
    2,096.36/2,891.76 = 1,754.82/x
  3. Step 3: Cross multiply
    2,096.36x = 2,891.76 × 1,754.82
  4. Step 4: Simplify right side
    2,096.36x = 5,074,518.28
  5. Step 5: Solve for x
    x = 5,074,518.28/2,096.36
  6. Step 6: Final answer
    x = 2,420.63

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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.