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Finding the Fourth Proportional to 2,160.36, 3,237.72 and 989.94

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Solution

The fourth proportional to 2,160.36, 3,237.72 and 989.94 is: 1,483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.36 : 3,237.72 = 989.94 : x
  2. Step 2: Convert to fraction form
    2,160.36/3,237.72 = 989.94/x
  3. Step 3: Cross multiply
    2,160.36x = 3,237.72 × 989.94
  4. Step 4: Simplify right side
    2,160.36x = 3,205,148.54
  5. Step 5: Solve for x
    x = 3,205,148.54/2,160.36
  6. Step 6: Final answer
    x = 1,483.62

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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.