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Finding the Fourth Proportional to 3,063.96, 4,596.62 and 872.87

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Solution

The fourth proportional to 3,063.96, 4,596.62 and 872.87 is: 1,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.96 : 4,596.62 = 872.87 : x
  2. Step 2: Convert to fraction form
    3,063.96/4,596.62 = 872.87/x
  3. Step 3: Cross multiply
    3,063.96x = 4,596.62 × 872.87
  4. Step 4: Simplify right side
    3,063.96x = 4,012,224.35
  5. Step 5: Solve for x
    x = 4,012,224.35/3,063.96
  6. Step 6: Final answer
    x = 1,309.49

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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.