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Finding the Fourth Proportional to 3,138.72, 4,708.14 and 830.28

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Solution

The fourth proportional to 3,138.72, 4,708.14 and 830.28 is: 1,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.72 : 4,708.14 = 830.28 : x
  2. Step 2: Convert to fraction form
    3,138.72/4,708.14 = 830.28/x
  3. Step 3: Cross multiply
    3,138.72x = 4,708.14 × 830.28
  4. Step 4: Simplify right side
    3,138.72x = 3,909,074.48
  5. Step 5: Solve for x
    x = 3,909,074.48/3,138.72
  6. Step 6: Final answer
    x = 1,245.44

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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.