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Finding the Fourth Proportional to 2,065.25, 2,850.05 and 1,133.75

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Solution

The fourth proportional to 2,065.25, 2,850.05 and 1,133.75 is: 1,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.25 : 2,850.05 = 1,133.75 : x
  2. Step 2: Convert to fraction form
    2,065.25/2,850.05 = 1,133.75/x
  3. Step 3: Cross multiply
    2,065.25x = 2,850.05 × 1,133.75
  4. Step 4: Simplify right side
    2,065.25x = 3,231,244.19
  5. Step 5: Solve for x
    x = 3,231,244.19/2,065.25
  6. Step 6: Final answer
    x = 1,564.58

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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.