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Finding the Fourth Proportional to 2,632.87, 3,949.71 and 989.53

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Solution

The fourth proportional to 2,632.87, 3,949.71 and 989.53 is: 1,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.87 : 3,949.71 = 989.53 : x
  2. Step 2: Convert to fraction form
    2,632.87/3,949.71 = 989.53/x
  3. Step 3: Cross multiply
    2,632.87x = 3,949.71 × 989.53
  4. Step 4: Simplify right side
    2,632.87x = 3,908,370.73
  5. Step 5: Solve for x
    x = 3,908,370.73/2,632.87
  6. Step 6: Final answer
    x = 1,484.45

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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.