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Finding the Fourth Proportional to 2,874.57, 4,310.78 and 926.25

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Solution

The fourth proportional to 2,874.57, 4,310.78 and 926.25 is: 1,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.57 : 4,310.78 = 926.25 : x
  2. Step 2: Convert to fraction form
    2,874.57/4,310.78 = 926.25/x
  3. Step 3: Cross multiply
    2,874.57x = 4,310.78 × 926.25
  4. Step 4: Simplify right side
    2,874.57x = 3,992,855.34
  5. Step 5: Solve for x
    x = 3,992,855.34/2,874.57
  6. Step 6: Final answer
    x = 1,389.03

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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.