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Finding the Fourth Proportional to 1,989.58, 2,984.38 and 674.81

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Solution

The fourth proportional to 1,989.58, 2,984.38 and 674.81 is: 1,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.58 : 2,984.38 = 674.81 : x
  2. Step 2: Convert to fraction form
    1,989.58/2,984.38 = 674.81/x
  3. Step 3: Cross multiply
    1,989.58x = 2,984.38 × 674.81
  4. Step 4: Simplify right side
    1,989.58x = 2,013,889.47
  5. Step 5: Solve for x
    x = 2,013,889.47/1,989.58
  6. Step 6: Final answer
    x = 1,012.22

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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.