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Finding the Fourth Proportional to 2,361.29, 3,258.63 and 1,313.42

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Solution

The fourth proportional to 2,361.29, 3,258.63 and 1,313.42 is: 1,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.29 : 3,258.63 = 1,313.42 : x
  2. Step 2: Convert to fraction form
    2,361.29/3,258.63 = 1,313.42/x
  3. Step 3: Cross multiply
    2,361.29x = 3,258.63 × 1,313.42
  4. Step 4: Simplify right side
    2,361.29x = 4,279,933.52
  5. Step 5: Solve for x
    x = 4,279,933.52/2,361.29
  6. Step 6: Final answer
    x = 1,812.54

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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.