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Finding the Fourth Proportional to 3,277.63, 4,913.47 and 1,634.68

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Solution

The fourth proportional to 3,277.63, 4,913.47 and 1,634.68 is: 2,450.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.63 : 4,913.47 = 1,634.68 : x
  2. Step 2: Convert to fraction form
    3,277.63/4,913.47 = 1,634.68/x
  3. Step 3: Cross multiply
    3,277.63x = 4,913.47 × 1,634.68
  4. Step 4: Simplify right side
    3,277.63x = 8,031,934.77
  5. Step 5: Solve for x
    x = 8,031,934.77/3,277.63
  6. Step 6: Final answer
    x = 2,450.53

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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.