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Finding the Fourth Proportional to 1,916.38, 2,874.57 and 1,050.22

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Solution

The fourth proportional to 1,916.38, 2,874.57 and 1,050.22 is: 1,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.38 : 2,874.57 = 1,050.22 : x
  2. Step 2: Convert to fraction form
    1,916.38/2,874.57 = 1,050.22/x
  3. Step 3: Cross multiply
    1,916.38x = 2,874.57 × 1,050.22
  4. Step 4: Simplify right side
    1,916.38x = 3,018,930.91
  5. Step 5: Solve for x
    x = 3,018,930.91/1,916.38
  6. Step 6: Final answer
    x = 1,575.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.