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Finding the Fourth Proportional to 2,383.30, 3,574.37 and 995.88

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Solution

The fourth proportional to 2,383.30, 3,574.37 and 995.88 is: 1,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.30 : 3,574.37 = 995.88 : x
  2. Step 2: Convert to fraction form
    2,383.30/3,574.37 = 995.88/x
  3. Step 3: Cross multiply
    2,383.30x = 3,574.37 × 995.88
  4. Step 4: Simplify right side
    2,383.30x = 3,559,638.62
  5. Step 5: Solve for x
    x = 3,559,638.62/2,383.30
  6. Step 6: Final answer
    x = 1,493.58

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1.5x scale

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.