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Finding the Fourth Proportional to 2,096.66, 2,894.75 and 1,300.83

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Solution

The fourth proportional to 2,096.66, 2,894.75 and 1,300.83 is: 1,795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.66 : 2,894.75 = 1,300.83 : x
  2. Step 2: Convert to fraction form
    2,096.66/2,894.75 = 1,300.83/x
  3. Step 3: Cross multiply
    2,096.66x = 2,894.75 × 1,300.83
  4. Step 4: Simplify right side
    2,096.66x = 3,765,571.14
  5. Step 5: Solve for x
    x = 3,765,571.14/2,096.66
  6. Step 6: Final answer
    x = 1,795.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.