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Finding the Fourth Proportional to 1,997.76, 2,759.37 and 1,410.93

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Solution

The fourth proportional to 1,997.76, 2,759.37 and 1,410.93 is: 1,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.76 : 2,759.37 = 1,410.93 : x
  2. Step 2: Convert to fraction form
    1,997.76/2,759.37 = 1,410.93/x
  3. Step 3: Cross multiply
    1,997.76x = 2,759.37 × 1,410.93
  4. Step 4: Simplify right side
    1,997.76x = 3,893,277.91
  5. Step 5: Solve for x
    x = 3,893,277.91/1,997.76
  6. Step 6: Final answer
    x = 1,948.82

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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.