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Finding the Fourth Proportional to 1,741.23, 2,402.91 and 995.49

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Solution

The fourth proportional to 1,741.23, 2,402.91 and 995.49 is: 1,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.23 : 2,402.91 = 995.49 : x
  2. Step 2: Convert to fraction form
    1,741.23/2,402.91 = 995.49/x
  3. Step 3: Cross multiply
    1,741.23x = 2,402.91 × 995.49
  4. Step 4: Simplify right side
    1,741.23x = 2,392,072.88
  5. Step 5: Solve for x
    x = 2,392,072.88/1,741.23
  6. Step 6: Final answer
    x = 1,373.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.