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Finding the Fourth Proportional to 2,470.82, 3,409.74 and 1,408.54

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Solution

The fourth proportional to 2,470.82, 3,409.74 and 1,408.54 is: 1,943.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.82 : 3,409.74 = 1,408.54 : x
  2. Step 2: Convert to fraction form
    2,470.82/3,409.74 = 1,408.54/x
  3. Step 3: Cross multiply
    2,470.82x = 3,409.74 × 1,408.54
  4. Step 4: Simplify right side
    2,470.82x = 4,802,755.18
  5. Step 5: Solve for x
    x = 4,802,755.18/2,470.82
  6. Step 6: Final answer
    x = 1,943.79

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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.