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Finding the Fourth Proportional to 1,616.43, 2,425.87 and 1,295.67

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Solution

The fourth proportional to 1,616.43, 2,425.87 and 1,295.67 is: 1,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.43 : 2,425.87 = 1,295.67 : x
  2. Step 2: Convert to fraction form
    1,616.43/2,425.87 = 1,295.67/x
  3. Step 3: Cross multiply
    1,616.43x = 2,425.87 × 1,295.67
  4. Step 4: Simplify right side
    1,616.43x = 3,143,137.70
  5. Step 5: Solve for x
    x = 3,143,137.70/1,616.43
  6. Step 6: Final answer
    x = 1,944.49

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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.