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Finding the Fourth Proportional to 2,451.11, 3,671.88 and 1,958.54

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Solution

The fourth proportional to 2,451.11, 3,671.88 and 1,958.54 is: 2,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.11 : 3,671.88 = 1,958.54 : x
  2. Step 2: Convert to fraction form
    2,451.11/3,671.88 = 1,958.54/x
  3. Step 3: Cross multiply
    2,451.11x = 3,671.88 × 1,958.54
  4. Step 4: Simplify right side
    2,451.11x = 7,191,505.50
  5. Step 5: Solve for x
    x = 7,191,505.50/2,451.11
  6. Step 6: Final answer
    x = 2,933.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.