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Finding the Fourth Proportional to 2,191.02, 3,285.54 and 804.12

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Solution

The fourth proportional to 2,191.02, 3,285.54 and 804.12 is: 1,205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.02 : 3,285.54 = 804.12 : x
  2. Step 2: Convert to fraction form
    2,191.02/3,285.54 = 804.12/x
  3. Step 3: Cross multiply
    2,191.02x = 3,285.54 × 804.12
  4. Step 4: Simplify right side
    2,191.02x = 2,641,968.42
  5. Step 5: Solve for x
    x = 2,641,968.42/2,191.02
  6. Step 6: Final answer
    x = 1,205.82

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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.