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Finding the Fourth Proportional to 2,004.54, 3,001.92 and 1,224.90

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Solution

The fourth proportional to 2,004.54, 3,001.92 and 1,224.90 is: 1,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.54 : 3,001.92 = 1,224.90 : x
  2. Step 2: Convert to fraction form
    2,004.54/3,001.92 = 1,224.90/x
  3. Step 3: Cross multiply
    2,004.54x = 3,001.92 × 1,224.90
  4. Step 4: Simplify right side
    2,004.54x = 3,677,051.81
  5. Step 5: Solve for x
    x = 3,677,051.81/2,004.54
  6. Step 6: Final answer
    x = 1,834.36

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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.