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Finding the Fourth Proportional to 3,146.70, 4,720.08 and 1,199.10

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Solution

The fourth proportional to 3,146.70, 4,720.08 and 1,199.10 is: 1,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.70 : 4,720.08 = 1,199.10 : x
  2. Step 2: Convert to fraction form
    3,146.70/4,720.08 = 1,199.10/x
  3. Step 3: Cross multiply
    3,146.70x = 4,720.08 × 1,199.10
  4. Step 4: Simplify right side
    3,146.70x = 5,659,847.93
  5. Step 5: Solve for x
    x = 5,659,847.93/3,146.70
  6. Step 6: Final answer
    x = 1,798.66

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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.