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Finding the Fourth Proportional to 2,354.36, 3,249.12 and 1,410.31

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Solution

The fourth proportional to 2,354.36, 3,249.12 and 1,410.31 is: 1,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.36 : 3,249.12 = 1,410.31 : x
  2. Step 2: Convert to fraction form
    2,354.36/3,249.12 = 1,410.31/x
  3. Step 3: Cross multiply
    2,354.36x = 3,249.12 × 1,410.31
  4. Step 4: Simplify right side
    2,354.36x = 4,582,249.57
  5. Step 5: Solve for x
    x = 4,582,249.57/2,354.36
  6. Step 6: Final answer
    x = 1,946.28

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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.