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Finding the Fourth Proportional to 1,673.24, 2,519.66 and 1,214.24

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Solution

The fourth proportional to 1,673.24, 2,519.66 and 1,214.24 is: 1,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.24 : 2,519.66 = 1,214.24 : x
  2. Step 2: Convert to fraction form
    1,673.24/2,519.66 = 1,214.24/x
  3. Step 3: Cross multiply
    1,673.24x = 2,519.66 × 1,214.24
  4. Step 4: Simplify right side
    1,673.24x = 3,059,471.96
  5. Step 5: Solve for x
    x = 3,059,471.96/1,673.24
  6. Step 6: Final answer
    x = 1,828.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.