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Finding the Fourth Proportional to 3,271.86, 4,909.23 and 1,732.50

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Solution

The fourth proportional to 3,271.86, 4,909.23 and 1,732.50 is: 2,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.86 : 4,909.23 = 1,732.50 : x
  2. Step 2: Convert to fraction form
    3,271.86/4,909.23 = 1,732.50/x
  3. Step 3: Cross multiply
    3,271.86x = 4,909.23 × 1,732.50
  4. Step 4: Simplify right side
    3,271.86x = 8,505,240.98
  5. Step 5: Solve for x
    x = 8,505,240.98/3,271.86
  6. Step 6: Final answer
    x = 2,599.51

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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.