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Finding the Fourth Proportional to 2,361.46, 3,257.11 and 1,465.71

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Solution

The fourth proportional to 2,361.46, 3,257.11 and 1,465.71 is: 2,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.46 : 3,257.11 = 1,465.71 : x
  2. Step 2: Convert to fraction form
    2,361.46/3,257.11 = 1,465.71/x
  3. Step 3: Cross multiply
    2,361.46x = 3,257.11 × 1,465.71
  4. Step 4: Simplify right side
    2,361.46x = 4,773,986.64
  5. Step 5: Solve for x
    x = 4,773,986.64/2,361.46
  6. Step 6: Final answer
    x = 2,021.62

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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.