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Finding the Fourth Proportional to 2,003.78, 2,764.59 and 1,296.01

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Solution

The fourth proportional to 2,003.78, 2,764.59 and 1,296.01 is: 1,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.78 : 2,764.59 = 1,296.01 : x
  2. Step 2: Convert to fraction form
    2,003.78/2,764.59 = 1,296.01/x
  3. Step 3: Cross multiply
    2,003.78x = 2,764.59 × 1,296.01
  4. Step 4: Simplify right side
    2,003.78x = 3,582,936.29
  5. Step 5: Solve for x
    x = 3,582,936.29/2,003.78
  6. Step 6: Final answer
    x = 1,788.09

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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.