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Finding the Fourth Proportional to 3,188.16, 4,782.91 and 997.05

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Solution

The fourth proportional to 3,188.16, 4,782.91 and 997.05 is: 1,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.16 : 4,782.91 = 997.05 : x
  2. Step 2: Convert to fraction form
    3,188.16/4,782.91 = 997.05/x
  3. Step 3: Cross multiply
    3,188.16x = 4,782.91 × 997.05
  4. Step 4: Simplify right side
    3,188.16x = 4,768,800.42
  5. Step 5: Solve for x
    x = 4,768,800.42/3,188.16
  6. Step 6: Final answer
    x = 1,495.78

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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.