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Finding the Fourth Proportional to 1,385.01, 1,906.94 and 1,174.75

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Solution

The fourth proportional to 1,385.01, 1,906.94 and 1,174.75 is: 1,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.01 : 1,906.94 = 1,174.75 : x
  2. Step 2: Convert to fraction form
    1,385.01/1,906.94 = 1,174.75/x
  3. Step 3: Cross multiply
    1,385.01x = 1,906.94 × 1,174.75
  4. Step 4: Simplify right side
    1,385.01x = 2,240,175.93
  5. Step 5: Solve for x
    x = 2,240,175.93/1,385.01
  6. Step 6: Final answer
    x = 1,617.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.