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Finding the Fourth Proportional to 3,173.43, 4,760.60 and 982.35

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Solution

The fourth proportional to 3,173.43, 4,760.60 and 982.35 is: 1,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.43 : 4,760.60 = 982.35 : x
  2. Step 2: Convert to fraction form
    3,173.43/4,760.60 = 982.35/x
  3. Step 3: Cross multiply
    3,173.43x = 4,760.60 × 982.35
  4. Step 4: Simplify right side
    3,173.43x = 4,676,575.41
  5. Step 5: Solve for x
    x = 4,676,575.41/3,173.43
  6. Step 6: Final answer
    x = 1,473.67

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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.