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Finding the Fourth Proportional to 3,189.37, 4,784.06 and 998.11

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Solution

The fourth proportional to 3,189.37, 4,784.06 and 998.11 is: 1,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.37 : 4,784.06 = 998.11 : x
  2. Step 2: Convert to fraction form
    3,189.37/4,784.06 = 998.11/x
  3. Step 3: Cross multiply
    3,189.37x = 4,784.06 × 998.11
  4. Step 4: Simplify right side
    3,189.37x = 4,775,018.13
  5. Step 5: Solve for x
    x = 4,775,018.13/3,189.37
  6. Step 6: Final answer
    x = 1,497.17

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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.