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Finding the Fourth Proportional to 1,634.57, 2,451.86 and 594.60

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Solution

The fourth proportional to 1,634.57, 2,451.86 and 594.60 is: 891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.57 : 2,451.86 = 594.60 : x
  2. Step 2: Convert to fraction form
    1,634.57/2,451.86 = 594.60/x
  3. Step 3: Cross multiply
    1,634.57x = 2,451.86 × 594.60
  4. Step 4: Simplify right side
    1,634.57x = 1,457,872.98
  5. Step 5: Solve for x
    x = 1,457,872.98/1,634.57
  6. Step 6: Final answer
    x = 891.90

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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.