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Finding the Fourth Proportional to 3,220.32, 4,824.98 and 1,760.50

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Solution

The fourth proportional to 3,220.32, 4,824.98 and 1,760.50 is: 2,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.32 : 4,824.98 = 1,760.50 : x
  2. Step 2: Convert to fraction form
    3,220.32/4,824.98 = 1,760.50/x
  3. Step 3: Cross multiply
    3,220.32x = 4,824.98 × 1,760.50
  4. Step 4: Simplify right side
    3,220.32x = 8,494,377.29
  5. Step 5: Solve for x
    x = 8,494,377.29/3,220.32
  6. Step 6: Final answer
    x = 2,637.74

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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.