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Finding the Fourth Proportional to 2,354.46, 3,249.03 and 1,359.78

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Solution

The fourth proportional to 2,354.46, 3,249.03 and 1,359.78 is: 1,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.46 : 3,249.03 = 1,359.78 : x
  2. Step 2: Convert to fraction form
    2,354.46/3,249.03 = 1,359.78/x
  3. Step 3: Cross multiply
    2,354.46x = 3,249.03 × 1,359.78
  4. Step 4: Simplify right side
    2,354.46x = 4,417,966.01
  5. Step 5: Solve for x
    x = 4,417,966.01/2,354.46
  6. Step 6: Final answer
    x = 1,876.42

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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.