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Finding the Fourth Proportional to 1,916.26, 2,874.69 and 820.63

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Solution

The fourth proportional to 1,916.26, 2,874.69 and 820.63 is: 1,231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.26 : 2,874.69 = 820.63 : x
  2. Step 2: Convert to fraction form
    1,916.26/2,874.69 = 820.63/x
  3. Step 3: Cross multiply
    1,916.26x = 2,874.69 × 820.63
  4. Step 4: Simplify right side
    1,916.26x = 2,359,056.85
  5. Step 5: Solve for x
    x = 2,359,056.85/1,916.26
  6. Step 6: Final answer
    x = 1,231.07

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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.