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Finding the Fourth Proportional to 1,244.92, 1,874.79 and 1,084.54

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Solution

The fourth proportional to 1,244.92, 1,874.79 and 1,084.54 is: 1,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.92 : 1,874.79 = 1,084.54 : x
  2. Step 2: Convert to fraction form
    1,244.92/1,874.79 = 1,084.54/x
  3. Step 3: Cross multiply
    1,244.92x = 1,874.79 × 1,084.54
  4. Step 4: Simplify right side
    1,244.92x = 2,033,274.64
  5. Step 5: Solve for x
    x = 2,033,274.64/1,244.92
  6. Step 6: Final answer
    x = 1,633.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.