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Finding the Fourth Proportional to 2,450.53, 3,381.75 and 1,402.57

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Solution

The fourth proportional to 2,450.53, 3,381.75 and 1,402.57 is: 1,935.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.53 : 3,381.75 = 1,402.57 : x
  2. Step 2: Convert to fraction form
    2,450.53/3,381.75 = 1,402.57/x
  3. Step 3: Cross multiply
    2,450.53x = 3,381.75 × 1,402.57
  4. Step 4: Simplify right side
    2,450.53x = 4,743,141.10
  5. Step 5: Solve for x
    x = 4,743,141.10/2,450.53
  6. Step 6: Final answer
    x = 1,935.56

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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.