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Finding the Fourth Proportional to 2,354.63, 3,249.48 and 1,306.89

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Solution

The fourth proportional to 2,354.63, 3,249.48 and 1,306.89 is: 1,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.63 : 3,249.48 = 1,306.89 : x
  2. Step 2: Convert to fraction form
    2,354.63/3,249.48 = 1,306.89/x
  3. Step 3: Cross multiply
    2,354.63x = 3,249.48 × 1,306.89
  4. Step 4: Simplify right side
    2,354.63x = 4,246,712.92
  5. Step 5: Solve for x
    x = 4,246,712.92/2,354.63
  6. Step 6: Final answer
    x = 1,803.56

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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.