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Finding the Fourth Proportional to 2,481.94, 3,416.49 and 2,145.69

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Solution

The fourth proportional to 2,481.94, 3,416.49 and 2,145.69 is: 2,953.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.94 : 3,416.49 = 2,145.69 : x
  2. Step 2: Convert to fraction form
    2,481.94/3,416.49 = 2,145.69/x
  3. Step 3: Cross multiply
    2,481.94x = 3,416.49 × 2,145.69
  4. Step 4: Simplify right side
    2,481.94x = 7,330,711.35
  5. Step 5: Solve for x
    x = 7,330,711.35/2,481.94
  6. Step 6: Final answer
    x = 2,953.63

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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.