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Finding the Fourth Proportional to 2,408.42, 3,612.63 and 1,313.70

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Solution

The fourth proportional to 2,408.42, 3,612.63 and 1,313.70 is: 1,970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.42 : 3,612.63 = 1,313.70 : x
  2. Step 2: Convert to fraction form
    2,408.42/3,612.63 = 1,313.70/x
  3. Step 3: Cross multiply
    2,408.42x = 3,612.63 × 1,313.70
  4. Step 4: Simplify right side
    2,408.42x = 4,745,912.03
  5. Step 5: Solve for x
    x = 4,745,912.03/2,408.42
  6. Step 6: Final answer
    x = 1,970.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.