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Finding the Fourth Proportional to 1,477.67, 2,214.41 and 819.84

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Solution

The fourth proportional to 1,477.67, 2,214.41 and 819.84 is: 1,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.67 : 2,214.41 = 819.84 : x
  2. Step 2: Convert to fraction form
    1,477.67/2,214.41 = 819.84/x
  3. Step 3: Cross multiply
    1,477.67x = 2,214.41 × 819.84
  4. Step 4: Simplify right side
    1,477.67x = 1,815,450.82
  5. Step 5: Solve for x
    x = 1,815,450.82/1,477.67
  6. Step 6: Final answer
    x = 1,228.59

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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.