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Finding the Fourth Proportional to 2,354.31, 3,247.11 and 1,410.24

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Solution

The fourth proportional to 2,354.31, 3,247.11 and 1,410.24 is: 1,945.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.31 : 3,247.11 = 1,410.24 : x
  2. Step 2: Convert to fraction form
    2,354.31/3,247.11 = 1,410.24/x
  3. Step 3: Cross multiply
    2,354.31x = 3,247.11 × 1,410.24
  4. Step 4: Simplify right side
    2,354.31x = 4,579,204.41
  5. Step 5: Solve for x
    x = 4,579,204.41/2,354.31
  6. Step 6: Final answer
    x = 1,945.03

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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.