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Finding the Fourth Proportional to 1,849.40, 2,548.64 and 1,324.52

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Solution

The fourth proportional to 1,849.40, 2,548.64 and 1,324.52 is: 1,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.40 : 2,548.64 = 1,324.52 : x
  2. Step 2: Convert to fraction form
    1,849.40/2,548.64 = 1,324.52/x
  3. Step 3: Cross multiply
    1,849.40x = 2,548.64 × 1,324.52
  4. Step 4: Simplify right side
    1,849.40x = 3,375,734.34
  5. Step 5: Solve for x
    x = 3,375,734.34/1,849.40
  6. Step 6: Final answer
    x = 1,825.31

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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.