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Finding the Fourth Proportional to 3,189.40, 4,783.78 and 849.46

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Solution

The fourth proportional to 3,189.40, 4,783.78 and 849.46 is: 1,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.40 : 4,783.78 = 849.46 : x
  2. Step 2: Convert to fraction form
    3,189.40/4,783.78 = 849.46/x
  3. Step 3: Cross multiply
    3,189.40x = 4,783.78 × 849.46
  4. Step 4: Simplify right side
    3,189.40x = 4,063,629.76
  5. Step 5: Solve for x
    x = 4,063,629.76/3,189.40
  6. Step 6: Final answer
    x = 1,274.10

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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.