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Finding the Fourth Proportional to 3,145.72, 4,718.57 and 837.22

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Solution

The fourth proportional to 3,145.72, 4,718.57 and 837.22 is: 1,255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.72 : 4,718.57 = 837.22 : x
  2. Step 2: Convert to fraction form
    3,145.72/4,718.57 = 837.22/x
  3. Step 3: Cross multiply
    3,145.72x = 4,718.57 × 837.22
  4. Step 4: Simplify right side
    3,145.72x = 3,950,481.18
  5. Step 5: Solve for x
    x = 3,950,481.18/3,145.72
  6. Step 6: Final answer
    x = 1,255.83

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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.