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Finding the Fourth Proportional to 3,440.71, 4,747.90 and 2,024.46

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Solution

The fourth proportional to 3,440.71, 4,747.90 and 2,024.46 is: 2,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.71 : 4,747.90 = 2,024.46 : x
  2. Step 2: Convert to fraction form
    3,440.71/4,747.90 = 2,024.46/x
  3. Step 3: Cross multiply
    3,440.71x = 4,747.90 × 2,024.46
  4. Step 4: Simplify right side
    3,440.71x = 9,611,933.63
  5. Step 5: Solve for x
    x = 9,611,933.63/3,440.71
  6. Step 6: Final answer
    x = 2,793.59

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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.