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Finding the Fourth Proportional to 1,454.46, 2,179.92 and 673.40

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Solution

The fourth proportional to 1,454.46, 2,179.92 and 673.40 is: 1,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.46 : 2,179.92 = 673.40 : x
  2. Step 2: Convert to fraction form
    1,454.46/2,179.92 = 673.40/x
  3. Step 3: Cross multiply
    1,454.46x = 2,179.92 × 673.40
  4. Step 4: Simplify right side
    1,454.46x = 1,467,958.13
  5. Step 5: Solve for x
    x = 1,467,958.13/1,454.46
  6. Step 6: Final answer
    x = 1,009.28

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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.