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Finding the Fourth Proportional to 1,967.80, 2,949.54 and 812.92

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Solution

The fourth proportional to 1,967.80, 2,949.54 and 812.92 is: 1,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.80 : 2,949.54 = 812.92 : x
  2. Step 2: Convert to fraction form
    1,967.80/2,949.54 = 812.92/x
  3. Step 3: Cross multiply
    1,967.80x = 2,949.54 × 812.92
  4. Step 4: Simplify right side
    1,967.80x = 2,397,740.06
  5. Step 5: Solve for x
    x = 2,397,740.06/1,967.80
  6. Step 6: Final answer
    x = 1,218.49

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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.