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Finding the Fourth Proportional to 1,782.69, 2,458.21 and 1,223.97

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Solution

The fourth proportional to 1,782.69, 2,458.21 and 1,223.97 is: 1,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.69 : 2,458.21 = 1,223.97 : x
  2. Step 2: Convert to fraction form
    1,782.69/2,458.21 = 1,223.97/x
  3. Step 3: Cross multiply
    1,782.69x = 2,458.21 × 1,223.97
  4. Step 4: Simplify right side
    1,782.69x = 3,008,775.29
  5. Step 5: Solve for x
    x = 3,008,775.29/1,782.69
  6. Step 6: Final answer
    x = 1,687.77

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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.