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Finding the Fourth Proportional to 2,036, 3,055.38 and 803.44

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Solution

The fourth proportional to 2,036, 3,055.38 and 803.44 is: 1,205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036 : 3,055.38 = 803.44 : x
  2. Step 2: Convert to fraction form
    2,036/3,055.38 = 803.44/x
  3. Step 3: Cross multiply
    2,036x = 3,055.38 × 803.44
  4. Step 4: Simplify right side
    2,036x = 2,454,814.51
  5. Step 5: Solve for x
    x = 2,454,814.51/2,036
  6. Step 6: Final answer
    x = 1,205.70

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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.