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Finding the Fourth Proportional to 1,916.28, 2,874.24 and 529.65

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Solution

The fourth proportional to 1,916.28, 2,874.24 and 529.65 is: 794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.28 : 2,874.24 = 529.65 : x
  2. Step 2: Convert to fraction form
    1,916.28/2,874.24 = 529.65/x
  3. Step 3: Cross multiply
    1,916.28x = 2,874.24 × 529.65
  4. Step 4: Simplify right side
    1,916.28x = 1,522,341.22
  5. Step 5: Solve for x
    x = 1,522,341.22/1,916.28
  6. Step 6: Final answer
    x = 794.43

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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.