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Finding the Fourth Proportional to 3,176.85, 4,764.92 and 837.07

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Solution

The fourth proportional to 3,176.85, 4,764.92 and 837.07 is: 1,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.85 : 4,764.92 = 837.07 : x
  2. Step 2: Convert to fraction form
    3,176.85/4,764.92 = 837.07/x
  3. Step 3: Cross multiply
    3,176.85x = 4,764.92 × 837.07
  4. Step 4: Simplify right side
    3,176.85x = 3,988,571.58
  5. Step 5: Solve for x
    x = 3,988,571.58/3,176.85
  6. Step 6: Final answer
    x = 1,255.51

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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.