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Finding the Fourth Proportional to 2,408.70, 3,323.59 and 1,464.33

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Solution

The fourth proportional to 2,408.70, 3,323.59 and 1,464.33 is: 2,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.70 : 3,323.59 = 1,464.33 : x
  2. Step 2: Convert to fraction form
    2,408.70/3,323.59 = 1,464.33/x
  3. Step 3: Cross multiply
    2,408.70x = 3,323.59 × 1,464.33
  4. Step 4: Simplify right side
    2,408.70x = 4,866,832.54
  5. Step 5: Solve for x
    x = 4,866,832.54/2,408.70
  6. Step 6: Final answer
    x = 2,020.52

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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.