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Finding the Fourth Proportional to 2,136.68, 2,948.47 and 1,228.22

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Solution

The fourth proportional to 2,136.68, 2,948.47 and 1,228.22 is: 1,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.68 : 2,948.47 = 1,228.22 : x
  2. Step 2: Convert to fraction form
    2,136.68/2,948.47 = 1,228.22/x
  3. Step 3: Cross multiply
    2,136.68x = 2,948.47 × 1,228.22
  4. Step 4: Simplify right side
    2,136.68x = 3,621,352.01
  5. Step 5: Solve for x
    x = 3,621,352.01/2,136.68
  6. Step 6: Final answer
    x = 1,694.85

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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.