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Finding the Fourth Proportional to 2,136.78, 2,948.30 and 1,606.23

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Solution

The fourth proportional to 2,136.78, 2,948.30 and 1,606.23 is: 2,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.78 : 2,948.30 = 1,606.23 : x
  2. Step 2: Convert to fraction form
    2,136.78/2,948.30 = 1,606.23/x
  3. Step 3: Cross multiply
    2,136.78x = 2,948.30 × 1,606.23
  4. Step 4: Simplify right side
    2,136.78x = 4,735,645.90
  5. Step 5: Solve for x
    x = 4,735,645.90/2,136.78
  6. Step 6: Final answer
    x = 2,216.25

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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.