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Finding the Fourth Proportional to 2,065.28, 3,098.83 and 835.09

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Solution

The fourth proportional to 2,065.28, 3,098.83 and 835.09 is: 1,253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.28 : 3,098.83 = 835.09 : x
  2. Step 2: Convert to fraction form
    2,065.28/3,098.83 = 835.09/x
  3. Step 3: Cross multiply
    2,065.28x = 3,098.83 × 835.09
  4. Step 4: Simplify right side
    2,065.28x = 2,587,801.94
  5. Step 5: Solve for x
    x = 2,587,801.94/2,065.28
  6. Step 6: Final answer
    x = 1,253.00

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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.