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Finding the Fourth Proportional to 2,150.96, 3,225.48 and 997.04

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Solution

The fourth proportional to 2,150.96, 3,225.48 and 997.04 is: 1,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.96 : 3,225.48 = 997.04 : x
  2. Step 2: Convert to fraction form
    2,150.96/3,225.48 = 997.04/x
  3. Step 3: Cross multiply
    2,150.96x = 3,225.48 × 997.04
  4. Step 4: Simplify right side
    2,150.96x = 3,215,932.58
  5. Step 5: Solve for x
    x = 3,215,932.58/2,150.96
  6. Step 6: Final answer
    x = 1,495.12

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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.