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Finding the Fourth Proportional to 2,003.09, 3,003.75 and 1,065.83

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Solution

The fourth proportional to 2,003.09, 3,003.75 and 1,065.83 is: 1,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.09 : 3,003.75 = 1,065.83 : x
  2. Step 2: Convert to fraction form
    2,003.09/3,003.75 = 1,065.83/x
  3. Step 3: Cross multiply
    2,003.09x = 3,003.75 × 1,065.83
  4. Step 4: Simplify right side
    2,003.09x = 3,201,494.37
  5. Step 5: Solve for x
    x = 3,201,494.37/2,003.09
  6. Step 6: Final answer
    x = 1,598.28

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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.