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Finding the Fourth Proportional to 3,205.50, 4,800.51 and 1,557.98

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Solution

The fourth proportional to 3,205.50, 4,800.51 and 1,557.98 is: 2,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.50 : 4,800.51 = 1,557.98 : x
  2. Step 2: Convert to fraction form
    3,205.50/4,800.51 = 1,557.98/x
  3. Step 3: Cross multiply
    3,205.50x = 4,800.51 × 1,557.98
  4. Step 4: Simplify right side
    3,205.50x = 7,479,098.57
  5. Step 5: Solve for x
    x = 7,479,098.57/3,205.50
  6. Step 6: Final answer
    x = 2,333.21

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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.