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Finding the Fourth Proportional to 1,454.70, 2,179.89 and 1,405.02

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Solution

The fourth proportional to 1,454.70, 2,179.89 and 1,405.02 is: 2,105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.70 : 2,179.89 = 1,405.02 : x
  2. Step 2: Convert to fraction form
    1,454.70/2,179.89 = 1,405.02/x
  3. Step 3: Cross multiply
    1,454.70x = 2,179.89 × 1,405.02
  4. Step 4: Simplify right side
    1,454.70x = 3,062,789.05
  5. Step 5: Solve for x
    x = 3,062,789.05/1,454.70
  6. Step 6: Final answer
    x = 2,105.44

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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.