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Finding the Fourth Proportional to 2,354.68, 3,249.80 and 1,346.62

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Solution

The fourth proportional to 2,354.68, 3,249.80 and 1,346.62 is: 1,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.68 : 3,249.80 = 1,346.62 : x
  2. Step 2: Convert to fraction form
    2,354.68/3,249.80 = 1,346.62/x
  3. Step 3: Cross multiply
    2,354.68x = 3,249.80 × 1,346.62
  4. Step 4: Simplify right side
    2,354.68x = 4,376,245.68
  5. Step 5: Solve for x
    x = 4,376,245.68/2,354.68
  6. Step 6: Final answer
    x = 1,858.53

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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.