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Finding the Fourth Proportional to 2,096.93, 3,145.38 and 1,002.06

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Solution

The fourth proportional to 2,096.93, 3,145.38 and 1,002.06 is: 1,503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.93 : 3,145.38 = 1,002.06 : x
  2. Step 2: Convert to fraction form
    2,096.93/3,145.38 = 1,002.06/x
  3. Step 3: Cross multiply
    2,096.93x = 3,145.38 × 1,002.06
  4. Step 4: Simplify right side
    2,096.93x = 3,151,859.48
  5. Step 5: Solve for x
    x = 3,151,859.48/2,096.93
  6. Step 6: Final answer
    x = 1,503.09

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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.