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Finding the Fourth Proportional to 2,846.29, 4,270.07 and 872.19

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Solution

The fourth proportional to 2,846.29, 4,270.07 and 872.19 is: 1,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.29 : 4,270.07 = 872.19 : x
  2. Step 2: Convert to fraction form
    2,846.29/4,270.07 = 872.19/x
  3. Step 3: Cross multiply
    2,846.29x = 4,270.07 × 872.19
  4. Step 4: Simplify right side
    2,846.29x = 3,724,327.28
  5. Step 5: Solve for x
    x = 3,724,327.28/2,846.29
  6. Step 6: Final answer
    x = 1,308.48

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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.