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Finding the Fourth Proportional to 1,766.67, 2,437.23 and 1,102.37

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Solution

The fourth proportional to 1,766.67, 2,437.23 and 1,102.37 is: 1,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.67 : 2,437.23 = 1,102.37 : x
  2. Step 2: Convert to fraction form
    1,766.67/2,437.23 = 1,102.37/x
  3. Step 3: Cross multiply
    1,766.67x = 2,437.23 × 1,102.37
  4. Step 4: Simplify right side
    1,766.67x = 2,686,717.05
  5. Step 5: Solve for x
    x = 2,686,717.05/1,766.67
  6. Step 6: Final answer
    x = 1,520.78

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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.