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Finding the Fourth Proportional to 2,793.02, 4,189.80 and 943.70

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Solution

The fourth proportional to 2,793.02, 4,189.80 and 943.70 is: 1,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.02 : 4,189.80 = 943.70 : x
  2. Step 2: Convert to fraction form
    2,793.02/4,189.80 = 943.70/x
  3. Step 3: Cross multiply
    2,793.02x = 4,189.80 × 943.70
  4. Step 4: Simplify right side
    2,793.02x = 3,953,914.26
  5. Step 5: Solve for x
    x = 3,953,914.26/2,793.02
  6. Step 6: Final answer
    x = 1,415.64

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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.