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Finding the Fourth Proportional to 1,948.92, 2,683.47 and 1,522.44

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Solution

The fourth proportional to 1,948.92, 2,683.47 and 1,522.44 is: 2,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.92 : 2,683.47 = 1,522.44 : x
  2. Step 2: Convert to fraction form
    1,948.92/2,683.47 = 1,522.44/x
  3. Step 3: Cross multiply
    1,948.92x = 2,683.47 × 1,522.44
  4. Step 4: Simplify right side
    1,948.92x = 4,085,422.07
  5. Step 5: Solve for x
    x = 4,085,422.07/1,948.92
  6. Step 6: Final answer
    x = 2,096.25

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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.