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Finding the Fourth Proportional to 2,762.05, 4,145.61 and 2,149.69

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Solution

The fourth proportional to 2,762.05, 4,145.61 and 2,149.69 is: 3,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.05 : 4,145.61 = 2,149.69 : x
  2. Step 2: Convert to fraction form
    2,762.05/4,145.61 = 2,149.69/x
  3. Step 3: Cross multiply
    2,762.05x = 4,145.61 × 2,149.69
  4. Step 4: Simplify right side
    2,762.05x = 8,911,763.69
  5. Step 5: Solve for x
    x = 8,911,763.69/2,762.05
  6. Step 6: Final answer
    x = 3,226.50

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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.