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Finding the Fourth Proportional to 2,036.03, 3,053.72 and 804.29

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Solution

The fourth proportional to 2,036.03, 3,053.72 and 804.29 is: 1,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.03 : 3,053.72 = 804.29 : x
  2. Step 2: Convert to fraction form
    2,036.03/3,053.72 = 804.29/x
  3. Step 3: Cross multiply
    2,036.03x = 3,053.72 × 804.29
  4. Step 4: Simplify right side
    2,036.03x = 2,456,063.20
  5. Step 5: Solve for x
    x = 2,456,063.20/2,036.03
  6. Step 6: Final answer
    x = 1,206.30

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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.