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Finding the Fourth Proportional to 3,189.08, 4,783.98 and 997.94

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Solution

The fourth proportional to 3,189.08, 4,783.98 and 997.94 is: 1,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.08 : 4,783.98 = 997.94 : x
  2. Step 2: Convert to fraction form
    3,189.08/4,783.98 = 997.94/x
  3. Step 3: Cross multiply
    3,189.08x = 4,783.98 × 997.94
  4. Step 4: Simplify right side
    3,189.08x = 4,774,125.00
  5. Step 5: Solve for x
    x = 4,774,125.00/3,189.08
  6. Step 6: Final answer
    x = 1,497.02

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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.