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Finding the Fourth Proportional to 4,455, 6,682.46 and 1,821.94

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Solution

The fourth proportional to 4,455, 6,682.46 and 1,821.94 is: 2,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,455 : 6,682.46 = 1,821.94 : x
  2. Step 2: Convert to fraction form
    4,455/6,682.46 = 1,821.94/x
  3. Step 3: Cross multiply
    4,455x = 6,682.46 × 1,821.94
  4. Step 4: Simplify right side
    4,455x = 12,175,041.17
  5. Step 5: Solve for x
    x = 12,175,041.17/4,455
  6. Step 6: Final answer
    x = 2,732.89

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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.