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Finding the Fourth Proportional to 2,451.12, 3,677.01 and 890.92

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Solution

The fourth proportional to 2,451.12, 3,677.01 and 890.92 is: 1,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.12 : 3,677.01 = 890.92 : x
  2. Step 2: Convert to fraction form
    2,451.12/3,677.01 = 890.92/x
  3. Step 3: Cross multiply
    2,451.12x = 3,677.01 × 890.92
  4. Step 4: Simplify right side
    2,451.12x = 3,275,921.75
  5. Step 5: Solve for x
    x = 3,275,921.75/2,451.12
  6. Step 6: Final answer
    x = 1,336.50

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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.