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Finding the Fourth Proportional to 2,104.54, 2,904.24 and 1,160.44

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Solution

The fourth proportional to 2,104.54, 2,904.24 and 1,160.44 is: 1,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.54 : 2,904.24 = 1,160.44 : x
  2. Step 2: Convert to fraction form
    2,104.54/2,904.24 = 1,160.44/x
  3. Step 3: Cross multiply
    2,104.54x = 2,904.24 × 1,160.44
  4. Step 4: Simplify right side
    2,104.54x = 3,370,189.01
  5. Step 5: Solve for x
    x = 3,370,189.01/2,104.54
  6. Step 6: Final answer
    x = 1,601.39

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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.