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Finding the Fourth Proportional to 2,469.69, 3,407.67 and 1,474.61

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Solution

The fourth proportional to 2,469.69, 3,407.67 and 1,474.61 is: 2,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.69 : 3,407.67 = 1,474.61 : x
  2. Step 2: Convert to fraction form
    2,469.69/3,407.67 = 1,474.61/x
  3. Step 3: Cross multiply
    2,469.69x = 3,407.67 × 1,474.61
  4. Step 4: Simplify right side
    2,469.69x = 5,024,967.22
  5. Step 5: Solve for x
    x = 5,024,967.22/2,469.69
  6. Step 6: Final answer
    x = 2,034.66

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