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Finding the Fourth Proportional to 2,937.74, 4,408.12 and 1,951.23

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Solution

The fourth proportional to 2,937.74, 4,408.12 and 1,951.23 is: 2,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.74 : 4,408.12 = 1,951.23 : x
  2. Step 2: Convert to fraction form
    2,937.74/4,408.12 = 1,951.23/x
  3. Step 3: Cross multiply
    2,937.74x = 4,408.12 × 1,951.23
  4. Step 4: Simplify right side
    2,937.74x = 8,601,272.20
  5. Step 5: Solve for x
    x = 8,601,272.20/2,937.74
  6. Step 6: Final answer
    x = 2,927.86

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1.5x scale

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.