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Finding the Fourth Proportional to 2,408.63, 3,323.93 and 1,464.35

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Solution

The fourth proportional to 2,408.63, 3,323.93 and 1,464.35 is: 2,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.63 : 3,323.93 = 1,464.35 : x
  2. Step 2: Convert to fraction form
    2,408.63/3,323.93 = 1,464.35/x
  3. Step 3: Cross multiply
    2,408.63x = 3,323.93 × 1,464.35
  4. Step 4: Simplify right side
    2,408.63x = 4,867,372.95
  5. Step 5: Solve for x
    x = 4,867,372.95/2,408.63
  6. Step 6: Final answer
    x = 2,020.81

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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.