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Finding the Fourth Proportional to 1,647.33, 2,273.27 and 901.26

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Solution

The fourth proportional to 1,647.33, 2,273.27 and 901.26 is: 1,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.33 : 2,273.27 = 901.26 : x
  2. Step 2: Convert to fraction form
    1,647.33/2,273.27 = 901.26/x
  3. Step 3: Cross multiply
    1,647.33x = 2,273.27 × 901.26
  4. Step 4: Simplify right side
    1,647.33x = 2,048,802.81
  5. Step 5: Solve for x
    x = 2,048,802.81/1,647.33
  6. Step 6: Final answer
    x = 1,243.71

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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.