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Finding the Fourth Proportional to 1,661.20, 2,491.23 and 673.75

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Solution

The fourth proportional to 1,661.20, 2,491.23 and 673.75 is: 1,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.20 : 2,491.23 = 673.75 : x
  2. Step 2: Convert to fraction form
    1,661.20/2,491.23 = 673.75/x
  3. Step 3: Cross multiply
    1,661.20x = 2,491.23 × 673.75
  4. Step 4: Simplify right side
    1,661.20x = 1,678,466.21
  5. Step 5: Solve for x
    x = 1,678,466.21/1,661.20
  6. Step 6: Final answer
    x = 1,010.39

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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.