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Finding the Fourth Proportional to 1,741.29, 2,402.81 and 995.24

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Solution

The fourth proportional to 1,741.29, 2,402.81 and 995.24 is: 1,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.29 : 2,402.81 = 995.24 : x
  2. Step 2: Convert to fraction form
    1,741.29/2,402.81 = 995.24/x
  3. Step 3: Cross multiply
    1,741.29x = 2,402.81 × 995.24
  4. Step 4: Simplify right side
    1,741.29x = 2,391,355.63
  5. Step 5: Solve for x
    x = 2,391,355.63/1,741.29
  6. Step 6: Final answer
    x = 1,373.32

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1.5x scale

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.