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Finding the Fourth Proportional to 2,469.69, 3,703.32 and 1,647.54

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Solution

The fourth proportional to 2,469.69, 3,703.32 and 1,647.54 is: 2,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.69 : 3,703.32 = 1,647.54 : x
  2. Step 2: Convert to fraction form
    2,469.69/3,703.32 = 1,647.54/x
  3. Step 3: Cross multiply
    2,469.69x = 3,703.32 × 1,647.54
  4. Step 4: Simplify right side
    2,469.69x = 6,101,367.83
  5. Step 5: Solve for x
    x = 6,101,367.83/2,469.69
  6. Step 6: Final answer
    x = 2,470.50

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1.5x scale

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.