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Finding the Fourth Proportional to 1,997.48, 2,980.83 and 1,754.52

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Solution

The fourth proportional to 1,997.48, 2,980.83 and 1,754.52 is: 2,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.48 : 2,980.83 = 1,754.52 : x
  2. Step 2: Convert to fraction form
    1,997.48/2,980.83 = 1,754.52/x
  3. Step 3: Cross multiply
    1,997.48x = 2,980.83 × 1,754.52
  4. Step 4: Simplify right side
    1,997.48x = 5,229,925.85
  5. Step 5: Solve for x
    x = 5,229,925.85/1,997.48
  6. Step 6: Final answer
    x = 2,618.27

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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.