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Finding the Fourth Proportional to 3,346.70, 5,019.62 and 1,704.46

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Solution

The fourth proportional to 3,346.70, 5,019.62 and 1,704.46 is: 2,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.70 : 5,019.62 = 1,704.46 : x
  2. Step 2: Convert to fraction form
    3,346.70/5,019.62 = 1,704.46/x
  3. Step 3: Cross multiply
    3,346.70x = 5,019.62 × 1,704.46
  4. Step 4: Simplify right side
    3,346.70x = 8,555,741.51
  5. Step 5: Solve for x
    x = 8,555,741.51/3,346.70
  6. Step 6: Final answer
    x = 2,556.47

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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.