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Finding the Fourth Proportional to 3,189.10, 4,783.86 and 849.06

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Solution

The fourth proportional to 3,189.10, 4,783.86 and 849.06 is: 1,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.10 : 4,783.86 = 849.06 : x
  2. Step 2: Convert to fraction form
    3,189.10/4,783.86 = 849.06/x
  3. Step 3: Cross multiply
    3,189.10x = 4,783.86 × 849.06
  4. Step 4: Simplify right side
    3,189.10x = 4,061,784.17
  5. Step 5: Solve for x
    x = 4,061,784.17/3,189.10
  6. Step 6: Final answer
    x = 1,273.65

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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.