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Finding the Fourth Proportional to 3,175.92, 4,764.38 and 984.13

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Solution

The fourth proportional to 3,175.92, 4,764.38 and 984.13 is: 1,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.92 : 4,764.38 = 984.13 : x
  2. Step 2: Convert to fraction form
    3,175.92/4,764.38 = 984.13/x
  3. Step 3: Cross multiply
    3,175.92x = 4,764.38 × 984.13
  4. Step 4: Simplify right side
    3,175.92x = 4,688,769.29
  5. Step 5: Solve for x
    x = 4,688,769.29/3,175.92
  6. Step 6: Final answer
    x = 1,476.35

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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.