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Finding the Fourth Proportional to 2,354.96, 3,249.60 and 1,410.56

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Solution

The fourth proportional to 2,354.96, 3,249.60 and 1,410.56 is: 1,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.96 : 3,249.60 = 1,410.56 : x
  2. Step 2: Convert to fraction form
    2,354.96/3,249.60 = 1,410.56/x
  3. Step 3: Cross multiply
    2,354.96x = 3,249.60 × 1,410.56
  4. Step 4: Simplify right side
    2,354.96x = 4,583,739.53
  5. Step 5: Solve for x
    x = 4,583,739.53/2,354.96
  6. Step 6: Final answer
    x = 1,946.42

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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.