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Finding the Fourth Proportional to 2,096.41, 3,145 and 1,000.85

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Solution

The fourth proportional to 2,096.41, 3,145 and 1,000.85 is: 1,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.41 : 3,145 = 1,000.85 : x
  2. Step 2: Convert to fraction form
    2,096.41/3,145 = 1,000.85/x
  3. Step 3: Cross multiply
    2,096.41x = 3,145 × 1,000.85
  4. Step 4: Simplify right side
    2,096.41x = 3,147,657.53
  5. Step 5: Solve for x
    x = 3,147,657.53/2,096.41
  6. Step 6: Final answer
    x = 1,501.45

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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.