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Finding the Fourth Proportional to 2,096.85, 3,143.93 and 1,002.81

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Solution

The fourth proportional to 2,096.85, 3,143.93 and 1,002.81 is: 1,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.85 : 3,143.93 = 1,002.81 : x
  2. Step 2: Convert to fraction form
    2,096.85/3,143.93 = 1,002.81/x
  3. Step 3: Cross multiply
    2,096.85x = 3,143.93 × 1,002.81
  4. Step 4: Simplify right side
    2,096.85x = 3,152,759.43
  5. Step 5: Solve for x
    x = 3,152,759.43/2,096.85
  6. Step 6: Final answer
    x = 1,503.57

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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.