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Finding the Fourth Proportional to 2,001.50, 2,762.09 and 1,105.28

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Solution

The fourth proportional to 2,001.50, 2,762.09 and 1,105.28 is: 1,525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.50 : 2,762.09 = 1,105.28 : x
  2. Step 2: Convert to fraction form
    2,001.50/2,762.09 = 1,105.28/x
  3. Step 3: Cross multiply
    2,001.50x = 2,762.09 × 1,105.28
  4. Step 4: Simplify right side
    2,001.50x = 3,052,863.50
  5. Step 5: Solve for x
    x = 3,052,863.50/2,001.50
  6. Step 6: Final answer
    x = 1,525.29

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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.