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Finding the Fourth Proportional to 2,036.37, 3,054.78 and 804.63

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Solution

The fourth proportional to 2,036.37, 3,054.78 and 804.63 is: 1,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.37 : 3,054.78 = 804.63 : x
  2. Step 2: Convert to fraction form
    2,036.37/3,054.78 = 804.63/x
  3. Step 3: Cross multiply
    2,036.37x = 3,054.78 × 804.63
  4. Step 4: Simplify right side
    2,036.37x = 2,457,967.63
  5. Step 5: Solve for x
    x = 2,457,967.63/2,036.37
  6. Step 6: Final answer
    x = 1,207.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.