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Finding the Fourth Proportional to 1,646.70, 2,273.49 and 1,273.02

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Solution

The fourth proportional to 1,646.70, 2,273.49 and 1,273.02 is: 1,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.70 : 2,273.49 = 1,273.02 : x
  2. Step 2: Convert to fraction form
    1,646.70/2,273.49 = 1,273.02/x
  3. Step 3: Cross multiply
    1,646.70x = 2,273.49 × 1,273.02
  4. Step 4: Simplify right side
    1,646.70x = 2,894,198.24
  5. Step 5: Solve for x
    x = 2,894,198.24/1,646.70
  6. Step 6: Final answer
    x = 1,757.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.