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Finding the Fourth Proportional to 2,804.85, 4,204.59 and 1,049.37

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Solution

The fourth proportional to 2,804.85, 4,204.59 and 1,049.37 is: 1,573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.85 : 4,204.59 = 1,049.37 : x
  2. Step 2: Convert to fraction form
    2,804.85/4,204.59 = 1,049.37/x
  3. Step 3: Cross multiply
    2,804.85x = 4,204.59 × 1,049.37
  4. Step 4: Simplify right side
    2,804.85x = 4,412,165.36
  5. Step 5: Solve for x
    x = 4,412,165.36/2,804.85
  6. Step 6: Final answer
    x = 1,573.05

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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.