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Finding the Fourth Proportional to 2,005.94, 3,003.44 and 1,355.38

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Solution

The fourth proportional to 2,005.94, 3,003.44 and 1,355.38 is: 2,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.94 : 3,003.44 = 1,355.38 : x
  2. Step 2: Convert to fraction form
    2,005.94/3,003.44 = 1,355.38/x
  3. Step 3: Cross multiply
    2,005.94x = 3,003.44 × 1,355.38
  4. Step 4: Simplify right side
    2,005.94x = 4,070,802.51
  5. Step 5: Solve for x
    x = 4,070,802.51/2,005.94
  6. Step 6: Final answer
    x = 2,029.37

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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.