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Finding the Fourth Proportional to 1,993.69, 2,750.47 and 1,363.20

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Solution

The fourth proportional to 1,993.69, 2,750.47 and 1,363.20 is: 1,880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.69 : 2,750.47 = 1,363.20 : x
  2. Step 2: Convert to fraction form
    1,993.69/2,750.47 = 1,363.20/x
  3. Step 3: Cross multiply
    1,993.69x = 2,750.47 × 1,363.20
  4. Step 4: Simplify right side
    1,993.69x = 3,749,440.70
  5. Step 5: Solve for x
    x = 3,749,440.70/1,993.69
  6. Step 6: Final answer
    x = 1,880.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.