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Finding the Fourth Proportional to 2,997.51, 4,136.47 and 1,671.44

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Solution

The fourth proportional to 2,997.51, 4,136.47 and 1,671.44 is: 2,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.51 : 4,136.47 = 1,671.44 : x
  2. Step 2: Convert to fraction form
    2,997.51/4,136.47 = 1,671.44/x
  3. Step 3: Cross multiply
    2,997.51x = 4,136.47 × 1,671.44
  4. Step 4: Simplify right side
    2,997.51x = 6,913,836.56
  5. Step 5: Solve for x
    x = 6,913,836.56/2,997.51
  6. Step 6: Final answer
    x = 2,306.53

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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.