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Finding the Fourth Proportional to 1,469.54, 2,208.92 and 1,358.83

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Solution

The fourth proportional to 1,469.54, 2,208.92 and 1,358.83 is: 2,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.54 : 2,208.92 = 1,358.83 : x
  2. Step 2: Convert to fraction form
    1,469.54/2,208.92 = 1,358.83/x
  3. Step 3: Cross multiply
    1,469.54x = 2,208.92 × 1,358.83
  4. Step 4: Simplify right side
    1,469.54x = 3,001,537.95
  5. Step 5: Solve for x
    x = 3,001,537.95/1,469.54
  6. Step 6: Final answer
    x = 2,042.50

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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.