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Finding the Fourth Proportional to 2,874.12, 4,311.18 and 926.61

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Solution

The fourth proportional to 2,874.12, 4,311.18 and 926.61 is: 1,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.12 : 4,311.18 = 926.61 : x
  2. Step 2: Convert to fraction form
    2,874.12/4,311.18 = 926.61/x
  3. Step 3: Cross multiply
    2,874.12x = 4,311.18 × 926.61
  4. Step 4: Simplify right side
    2,874.12x = 3,994,782.50
  5. Step 5: Solve for x
    x = 3,994,782.50/2,874.12
  6. Step 6: Final answer
    x = 1,389.92

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Why These Related Problems?

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