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Finding the Fourth Proportional to 3,163, 4,365.15 and 1,765.78

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Solution

The fourth proportional to 3,163, 4,365.15 and 1,765.78 is: 2,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163 : 4,365.15 = 1,765.78 : x
  2. Step 2: Convert to fraction form
    3,163/4,365.15 = 1,765.78/x
  3. Step 3: Cross multiply
    3,163x = 4,365.15 × 1,765.78
  4. Step 4: Simplify right side
    3,163x = 7,707,894.57
  5. Step 5: Solve for x
    x = 7,707,894.57/3,163
  6. Step 6: Final answer
    x = 2,436.89

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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.