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Finding the Fourth Proportional to 2,354.42, 3,249.14 and 1,306.48

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Solution

The fourth proportional to 2,354.42, 3,249.14 and 1,306.48 is: 1,802.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.42 : 3,249.14 = 1,306.48 : x
  2. Step 2: Convert to fraction form
    2,354.42/3,249.14 = 1,306.48/x
  3. Step 3: Cross multiply
    2,354.42x = 3,249.14 × 1,306.48
  4. Step 4: Simplify right side
    2,354.42x = 4,244,936.43
  5. Step 5: Solve for x
    x = 4,244,936.43/2,354.42
  6. Step 6: Final answer
    x = 1,802.96

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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.