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Finding the Fourth Proportional to 2,048.44, 2,827.09 and 1,164.37

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Solution

The fourth proportional to 2,048.44, 2,827.09 and 1,164.37 is: 1,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.44 : 2,827.09 = 1,164.37 : x
  2. Step 2: Convert to fraction form
    2,048.44/2,827.09 = 1,164.37/x
  3. Step 3: Cross multiply
    2,048.44x = 2,827.09 × 1,164.37
  4. Step 4: Simplify right side
    2,048.44x = 3,291,780.03
  5. Step 5: Solve for x
    x = 3,291,780.03/2,048.44
  6. Step 6: Final answer
    x = 1,606.97

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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.