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Finding the Fourth Proportional to 2,096.37, 3,140.73 and 983.70

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Solution

The fourth proportional to 2,096.37, 3,140.73 and 983.70 is: 1,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.37 : 3,140.73 = 983.70 : x
  2. Step 2: Convert to fraction form
    2,096.37/3,140.73 = 983.70/x
  3. Step 3: Cross multiply
    2,096.37x = 3,140.73 × 983.70
  4. Step 4: Simplify right side
    2,096.37x = 3,089,536.10
  5. Step 5: Solve for x
    x = 3,089,536.10/2,096.37
  6. Step 6: Final answer
    x = 1,473.76

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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.