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Finding the Fourth Proportional to 3,190.24, 4,785.36 and 998.98

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Solution

The fourth proportional to 3,190.24, 4,785.36 and 998.98 is: 1,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.24 : 4,785.36 = 998.98 : x
  2. Step 2: Convert to fraction form
    3,190.24/4,785.36 = 998.98/x
  3. Step 3: Cross multiply
    3,190.24x = 4,785.36 × 998.98
  4. Step 4: Simplify right side
    3,190.24x = 4,780,478.93
  5. Step 5: Solve for x
    x = 4,780,478.93/3,190.24
  6. Step 6: Final answer
    x = 1,498.47

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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.