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Finding the Fourth Proportional to 3,134.12, 4,700.97 and 794.07

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Solution

The fourth proportional to 3,134.12, 4,700.97 and 794.07 is: 1,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.12 : 4,700.97 = 794.07 : x
  2. Step 2: Convert to fraction form
    3,134.12/4,700.97 = 794.07/x
  3. Step 3: Cross multiply
    3,134.12x = 4,700.97 × 794.07
  4. Step 4: Simplify right side
    3,134.12x = 3,732,899.25
  5. Step 5: Solve for x
    x = 3,732,899.25/3,134.12
  6. Step 6: Final answer
    x = 1,191.05

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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.