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Finding the Fourth Proportional to 1,414.03, 2,119.95 and 673.26

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Solution

The fourth proportional to 1,414.03, 2,119.95 and 673.26 is: 1,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.03 : 2,119.95 = 673.26 : x
  2. Step 2: Convert to fraction form
    1,414.03/2,119.95 = 673.26/x
  3. Step 3: Cross multiply
    1,414.03x = 2,119.95 × 673.26
  4. Step 4: Simplify right side
    1,414.03x = 1,427,279.62
  5. Step 5: Solve for x
    x = 1,427,279.62/1,414.03
  6. Step 6: Final answer
    x = 1,009.37

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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.