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Finding the Fourth Proportional to 2,136.72, 2,948.88 and 1,297.44

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Solution

The fourth proportional to 2,136.72, 2,948.88 and 1,297.44 is: 1,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.72 : 2,948.88 = 1,297.44 : x
  2. Step 2: Convert to fraction form
    2,136.72/2,948.88 = 1,297.44/x
  3. Step 3: Cross multiply
    2,136.72x = 2,948.88 × 1,297.44
  4. Step 4: Simplify right side
    2,136.72x = 3,825,994.87
  5. Step 5: Solve for x
    x = 3,825,994.87/2,136.72
  6. Step 6: Final answer
    x = 1,790.59

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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.