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Finding the Fourth Proportional to 2,354.49, 3,249.46 and 1,504.53

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Solution

The fourth proportional to 2,354.49, 3,249.46 and 1,504.53 is: 2,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.49 : 3,249.46 = 1,504.53 : x
  2. Step 2: Convert to fraction form
    2,354.49/3,249.46 = 1,504.53/x
  3. Step 3: Cross multiply
    2,354.49x = 3,249.46 × 1,504.53
  4. Step 4: Simplify right side
    2,354.49x = 4,888,913.16
  5. Step 5: Solve for x
    x = 4,888,913.16/2,354.49
  6. Step 6: Final answer
    x = 2,076.42

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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.