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Finding the Fourth Proportional to 3,133, 4,328.82 and 2,247.16

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Solution

The fourth proportional to 3,133, 4,328.82 and 2,247.16 is: 3,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133 : 4,328.82 = 2,247.16 : x
  2. Step 2: Convert to fraction form
    3,133/4,328.82 = 2,247.16/x
  3. Step 3: Cross multiply
    3,133x = 4,328.82 × 2,247.16
  4. Step 4: Simplify right side
    3,133x = 9,727,551.15
  5. Step 5: Solve for x
    x = 9,727,551.15/3,133
  6. Step 6: Final answer
    x = 3,104.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.