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Finding the Fourth Proportional to 2,454.54, 3,387.03 and 1,406.46

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Solution

The fourth proportional to 2,454.54, 3,387.03 and 1,406.46 is: 1,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.54 : 3,387.03 = 1,406.46 : x
  2. Step 2: Convert to fraction form
    2,454.54/3,387.03 = 1,406.46/x
  3. Step 3: Cross multiply
    2,454.54x = 3,387.03 × 1,406.46
  4. Step 4: Simplify right side
    2,454.54x = 4,763,722.21
  5. Step 5: Solve for x
    x = 4,763,722.21/2,454.54
  6. Step 6: Final answer
    x = 1,940.78

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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.