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Finding the Fourth Proportional to 2,538.04, 3,806.97 and 689.44

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Solution

The fourth proportional to 2,538.04, 3,806.97 and 689.44 is: 1,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.04 : 3,806.97 = 689.44 : x
  2. Step 2: Convert to fraction form
    2,538.04/3,806.97 = 689.44/x
  3. Step 3: Cross multiply
    2,538.04x = 3,806.97 × 689.44
  4. Step 4: Simplify right side
    2,538.04x = 2,624,677.40
  5. Step 5: Solve for x
    x = 2,624,677.40/2,538.04
  6. Step 6: Final answer
    x = 1,034.14

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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.