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Finding the Fourth Proportional to 2,375.46, 3,561.26 and 989.83

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Solution

The fourth proportional to 2,375.46, 3,561.26 and 989.83 is: 1,483.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.46 : 3,561.26 = 989.83 : x
  2. Step 2: Convert to fraction form
    2,375.46/3,561.26 = 989.83/x
  3. Step 3: Cross multiply
    2,375.46x = 3,561.26 × 989.83
  4. Step 4: Simplify right side
    2,375.46x = 3,525,045.20
  5. Step 5: Solve for x
    x = 3,525,045.20/2,375.46
  6. Step 6: Final answer
    x = 1,483.94

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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.