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Finding the Fourth Proportional to 2,354.40, 3,249.50 and 1,359.54

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Solution

The fourth proportional to 2,354.40, 3,249.50 and 1,359.54 is: 1,876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.40 : 3,249.50 = 1,359.54 : x
  2. Step 2: Convert to fraction form
    2,354.40/3,249.50 = 1,359.54/x
  3. Step 3: Cross multiply
    2,354.40x = 3,249.50 × 1,359.54
  4. Step 4: Simplify right side
    2,354.40x = 4,417,818.43
  5. Step 5: Solve for x
    x = 4,417,818.43/2,354.40
  6. Step 6: Final answer
    x = 1,876.41

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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.