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Finding the Fourth Proportional to 2,428.00, 3,642.54 and 967.12

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Solution

The fourth proportional to 2,428.00, 3,642.54 and 967.12 is: 1,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.00 : 3,642.54 = 967.12 : x
  2. Step 2: Convert to fraction form
    2,428.00/3,642.54 = 967.12/x
  3. Step 3: Cross multiply
    2,428.00x = 3,642.54 × 967.12
  4. Step 4: Simplify right side
    2,428.00x = 3,522,755.07
  5. Step 5: Solve for x
    x = 3,522,755.07/2,428.00
  6. Step 6: Final answer
    x = 1,450.89

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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.