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Finding the Fourth Proportional to 2,143.56, 3,215.34 and 989.04

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Solution

The fourth proportional to 2,143.56, 3,215.34 and 989.04 is: 1,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.56 : 3,215.34 = 989.04 : x
  2. Step 2: Convert to fraction form
    2,143.56/3,215.34 = 989.04/x
  3. Step 3: Cross multiply
    2,143.56x = 3,215.34 × 989.04
  4. Step 4: Simplify right side
    2,143.56x = 3,180,099.87
  5. Step 5: Solve for x
    x = 3,180,099.87/2,143.56
  6. Step 6: Final answer
    x = 1,483.56

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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.