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Finding the Fourth Proportional to 2,669.60, 4,004.60 and 721.77

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Solution

The fourth proportional to 2,669.60, 4,004.60 and 721.77 is: 1,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.60 : 4,004.60 = 721.77 : x
  2. Step 2: Convert to fraction form
    2,669.60/4,004.60 = 721.77/x
  3. Step 3: Cross multiply
    2,669.60x = 4,004.60 × 721.77
  4. Step 4: Simplify right side
    2,669.60x = 2,890,396.53
  5. Step 5: Solve for x
    x = 2,890,396.53/2,669.60
  6. Step 6: Final answer
    x = 1,082.71

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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.