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Finding the Fourth Proportional to 2,201.72, 3,040.34 and 2,048.63

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Solution

The fourth proportional to 2,201.72, 3,040.34 and 2,048.63 is: 2,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.72 : 3,040.34 = 2,048.63 : x
  2. Step 2: Convert to fraction form
    2,201.72/3,040.34 = 2,048.63/x
  3. Step 3: Cross multiply
    2,201.72x = 3,040.34 × 2,048.63
  4. Step 4: Simplify right side
    2,201.72x = 6,228,506.29
  5. Step 5: Solve for x
    x = 6,228,506.29/2,201.72
  6. Step 6: Final answer
    x = 2,828.93

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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.