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Finding the Fourth Proportional to 2,428.17, 3,642.30 and 967.20

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Solution

The fourth proportional to 2,428.17, 3,642.30 and 967.20 is: 1,450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.17 : 3,642.30 = 967.20 : x
  2. Step 2: Convert to fraction form
    2,428.17/3,642.30 = 967.20/x
  3. Step 3: Cross multiply
    2,428.17x = 3,642.30 × 967.20
  4. Step 4: Simplify right side
    2,428.17x = 3,522,832.56
  5. Step 5: Solve for x
    x = 3,522,832.56/2,428.17
  6. Step 6: Final answer
    x = 1,450.82

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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.