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Finding the Fourth Proportional to 1,771.91, 2,657.83 and 617.63

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Solution

The fourth proportional to 1,771.91, 2,657.83 and 617.63 is: 926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.91 : 2,657.83 = 617.63 : x
  2. Step 2: Convert to fraction form
    1,771.91/2,657.83 = 617.63/x
  3. Step 3: Cross multiply
    1,771.91x = 2,657.83 × 617.63
  4. Step 4: Simplify right side
    1,771.91x = 1,641,540.71
  5. Step 5: Solve for x
    x = 1,641,540.71/1,771.91
  6. Step 6: Final answer
    x = 926.43

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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.