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Finding the Fourth Proportional to 1,741.85, 2,612.76 and 443.31

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Solution

The fourth proportional to 1,741.85, 2,612.76 and 443.31 is: 664.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.85 : 2,612.76 = 443.31 : x
  2. Step 2: Convert to fraction form
    1,741.85/2,612.76 = 443.31/x
  3. Step 3: Cross multiply
    1,741.85x = 2,612.76 × 443.31
  4. Step 4: Simplify right side
    1,741.85x = 1,158,262.64
  5. Step 5: Solve for x
    x = 1,158,262.64/1,741.85
  6. Step 6: Final answer
    x = 664.96

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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.