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Finding the Fourth Proportional to 2,906.55, 4,359.83 and 1,174.77

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Solution

The fourth proportional to 2,906.55, 4,359.83 and 1,174.77 is: 1,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.55 : 4,359.83 = 1,174.77 : x
  2. Step 2: Convert to fraction form
    2,906.55/4,359.83 = 1,174.77/x
  3. Step 3: Cross multiply
    2,906.55x = 4,359.83 × 1,174.77
  4. Step 4: Simplify right side
    2,906.55x = 5,121,791.62
  5. Step 5: Solve for x
    x = 5,121,791.62/2,906.55
  6. Step 6: Final answer
    x = 1,762.16

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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.