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Finding the Fourth Proportional to 3,496.96, 5,242.20 and 1,740.88

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Solution

The fourth proportional to 3,496.96, 5,242.20 and 1,740.88 is: 2,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.96 : 5,242.20 = 1,740.88 : x
  2. Step 2: Convert to fraction form
    3,496.96/5,242.20 = 1,740.88/x
  3. Step 3: Cross multiply
    3,496.96x = 5,242.20 × 1,740.88
  4. Step 4: Simplify right side
    3,496.96x = 9,126,041.14
  5. Step 5: Solve for x
    x = 9,126,041.14/3,496.96
  6. Step 6: Final answer
    x = 2,609.71

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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.