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Finding the Fourth Proportional to 2,804.67, 4,202.34 and 1,486.56

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Solution

The fourth proportional to 2,804.67, 4,202.34 and 1,486.56 is: 2,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.67 : 4,202.34 = 1,486.56 : x
  2. Step 2: Convert to fraction form
    2,804.67/4,202.34 = 1,486.56/x
  3. Step 3: Cross multiply
    2,804.67x = 4,202.34 × 1,486.56
  4. Step 4: Simplify right side
    2,804.67x = 6,247,030.55
  5. Step 5: Solve for x
    x = 6,247,030.55/2,804.67
  6. Step 6: Final answer
    x = 2,227.37

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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.