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Finding the Fourth Proportional to 3,052.84, 4,212.90 and 1,726.54

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Solution

The fourth proportional to 3,052.84, 4,212.90 and 1,726.54 is: 2,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.84 : 4,212.90 = 1,726.54 : x
  2. Step 2: Convert to fraction form
    3,052.84/4,212.90 = 1,726.54/x
  3. Step 3: Cross multiply
    3,052.84x = 4,212.90 × 1,726.54
  4. Step 4: Simplify right side
    3,052.84x = 7,273,740.37
  5. Step 5: Solve for x
    x = 7,273,740.37/3,052.84
  6. Step 6: Final answer
    x = 2,382.61

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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.