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Finding the Fourth Proportional to 2,201.34, 3,302.73 and 1,584.54

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Solution

The fourth proportional to 2,201.34, 3,302.73 and 1,584.54 is: 2,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.34 : 3,302.73 = 1,584.54 : x
  2. Step 2: Convert to fraction form
    2,201.34/3,302.73 = 1,584.54/x
  3. Step 3: Cross multiply
    2,201.34x = 3,302.73 × 1,584.54
  4. Step 4: Simplify right side
    2,201.34x = 5,233,307.79
  5. Step 5: Solve for x
    x = 5,233,307.79/2,201.34
  6. Step 6: Final answer
    x = 2,377.33

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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.