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Finding the Fourth Proportional to 2,136.96, 2,948.92 and 1,252.76

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Solution

The fourth proportional to 2,136.96, 2,948.92 and 1,252.76 is: 1,728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.96 : 2,948.92 = 1,252.76 : x
  2. Step 2: Convert to fraction form
    2,136.96/2,948.92 = 1,252.76/x
  3. Step 3: Cross multiply
    2,136.96x = 2,948.92 × 1,252.76
  4. Step 4: Simplify right side
    2,136.96x = 3,694,289.02
  5. Step 5: Solve for x
    x = 3,694,289.02/2,136.96
  6. Step 6: Final answer
    x = 1,728.76

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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.