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Finding the Fourth Proportional to 3,073.55, 4,609.37 and 993.17

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Solution

The fourth proportional to 3,073.55, 4,609.37 and 993.17 is: 1,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.55 : 4,609.37 = 993.17 : x
  2. Step 2: Convert to fraction form
    3,073.55/4,609.37 = 993.17/x
  3. Step 3: Cross multiply
    3,073.55x = 4,609.37 × 993.17
  4. Step 4: Simplify right side
    3,073.55x = 4,577,859.99
  5. Step 5: Solve for x
    x = 4,577,859.99/3,073.55
  6. Step 6: Final answer
    x = 1,489.44

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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.