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Finding the Fourth Proportional to 1,648.01, 2,274.25 and 901.97

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Solution

The fourth proportional to 1,648.01, 2,274.25 and 901.97 is: 1,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.01 : 2,274.25 = 901.97 : x
  2. Step 2: Convert to fraction form
    1,648.01/2,274.25 = 901.97/x
  3. Step 3: Cross multiply
    1,648.01x = 2,274.25 × 901.97
  4. Step 4: Simplify right side
    1,648.01x = 2,051,296.75
  5. Step 5: Solve for x
    x = 2,051,296.75/1,648.01
  6. Step 6: Final answer
    x = 1,244.71

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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.