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Finding the Fourth Proportional to 3,189.07, 4,783.52 and 997.52

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Solution

The fourth proportional to 3,189.07, 4,783.52 and 997.52 is: 1,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.07 : 4,783.52 = 997.52 : x
  2. Step 2: Convert to fraction form
    3,189.07/4,783.52 = 997.52/x
  3. Step 3: Cross multiply
    3,189.07x = 4,783.52 × 997.52
  4. Step 4: Simplify right side
    3,189.07x = 4,771,635.45
  5. Step 5: Solve for x
    x = 4,771,635.45/3,189.07
  6. Step 6: Final answer
    x = 1,496.25

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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.