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Finding the Fourth Proportional to 2,722.38, 4,079.97 and 989.34

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Solution

The fourth proportional to 2,722.38, 4,079.97 and 989.34 is: 1,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.38 : 4,079.97 = 989.34 : x
  2. Step 2: Convert to fraction form
    2,722.38/4,079.97 = 989.34/x
  3. Step 3: Cross multiply
    2,722.38x = 4,079.97 × 989.34
  4. Step 4: Simplify right side
    2,722.38x = 4,036,477.52
  5. Step 5: Solve for x
    x = 4,036,477.52/2,722.38
  6. Step 6: Final answer
    x = 1,482.70

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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.