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Finding the Fourth Proportional to 4,602.76, 6,906.46 and 2,134.80

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Solution

The fourth proportional to 4,602.76, 6,906.46 and 2,134.80 is: 3,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.76 : 6,906.46 = 2,134.80 : x
  2. Step 2: Convert to fraction form
    4,602.76/6,906.46 = 2,134.80/x
  3. Step 3: Cross multiply
    4,602.76x = 6,906.46 × 2,134.80
  4. Step 4: Simplify right side
    4,602.76x = 14,743,910.81
  5. Step 5: Solve for x
    x = 14,743,910.81/4,602.76
  6. Step 6: Final answer
    x = 3,203.28

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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.