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Finding the Fourth Proportional to 2,190.15, 3,285.77 and 804.24

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Solution

The fourth proportional to 2,190.15, 3,285.77 and 804.24 is: 1,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.15 : 3,285.77 = 804.24 : x
  2. Step 2: Convert to fraction form
    2,190.15/3,285.77 = 804.24/x
  3. Step 3: Cross multiply
    2,190.15x = 3,285.77 × 804.24
  4. Step 4: Simplify right side
    2,190.15x = 2,642,543.64
  5. Step 5: Solve for x
    x = 2,642,543.64/2,190.15
  6. Step 6: Final answer
    x = 1,206.56

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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.