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Finding the Fourth Proportional to 2,562.67, 3,844.01 and 1,833.67

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Solution

The fourth proportional to 2,562.67, 3,844.01 and 1,833.67 is: 2,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.67 : 3,844.01 = 1,833.67 : x
  2. Step 2: Convert to fraction form
    2,562.67/3,844.01 = 1,833.67/x
  3. Step 3: Cross multiply
    2,562.67x = 3,844.01 × 1,833.67
  4. Step 4: Simplify right side
    2,562.67x = 7,048,653.13
  5. Step 5: Solve for x
    x = 7,048,653.13/2,562.67
  6. Step 6: Final answer
    x = 2,750.51

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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.