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Finding the Fourth Proportional to 2,732.50, 4,098.88 and 1,643.86

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Solution

The fourth proportional to 2,732.50, 4,098.88 and 1,643.86 is: 2,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.50 : 4,098.88 = 1,643.86 : x
  2. Step 2: Convert to fraction form
    2,732.50/4,098.88 = 1,643.86/x
  3. Step 3: Cross multiply
    2,732.50x = 4,098.88 × 1,643.86
  4. Step 4: Simplify right side
    2,732.50x = 6,737,984.88
  5. Step 5: Solve for x
    x = 6,737,984.88/2,732.50
  6. Step 6: Final answer
    x = 2,465.87

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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.