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Finding the Fourth Proportional to 3,122.46, 4,677.50 and 1,639.45

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Solution

The fourth proportional to 3,122.46, 4,677.50 and 1,639.45 is: 2,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.46 : 4,677.50 = 1,639.45 : x
  2. Step 2: Convert to fraction form
    3,122.46/4,677.50 = 1,639.45/x
  3. Step 3: Cross multiply
    3,122.46x = 4,677.50 × 1,639.45
  4. Step 4: Simplify right side
    3,122.46x = 7,668,545.05
  5. Step 5: Solve for x
    x = 7,668,545.05/3,122.46
  6. Step 6: Final answer
    x = 2,455.93

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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.