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Finding the Fourth Proportional to 2,143.72, 3,216.06 and 989.56

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Solution

The fourth proportional to 2,143.72, 3,216.06 and 989.56 is: 1,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.72 : 3,216.06 = 989.56 : x
  2. Step 2: Convert to fraction form
    2,143.72/3,216.06 = 989.56/x
  3. Step 3: Cross multiply
    2,143.72x = 3,216.06 × 989.56
  4. Step 4: Simplify right side
    2,143.72x = 3,182,484.33
  5. Step 5: Solve for x
    x = 3,182,484.33/2,143.72
  6. Step 6: Final answer
    x = 1,484.56

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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.