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Finding the Fourth Proportional to 1,916.29, 2,644.42 and 1,076.97

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Solution

The fourth proportional to 1,916.29, 2,644.42 and 1,076.97 is: 1,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.29 : 2,644.42 = 1,076.97 : x
  2. Step 2: Convert to fraction form
    1,916.29/2,644.42 = 1,076.97/x
  3. Step 3: Cross multiply
    1,916.29x = 2,644.42 × 1,076.97
  4. Step 4: Simplify right side
    1,916.29x = 2,847,961.01
  5. Step 5: Solve for x
    x = 2,847,961.01/1,916.29
  6. Step 6: Final answer
    x = 1,486.18

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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.