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Finding the Fourth Proportional to 2,723.97, 4,085.84 and 776.17

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Solution

The fourth proportional to 2,723.97, 4,085.84 and 776.17 is: 1,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.97 : 4,085.84 = 776.17 : x
  2. Step 2: Convert to fraction form
    2,723.97/4,085.84 = 776.17/x
  3. Step 3: Cross multiply
    2,723.97x = 4,085.84 × 776.17
  4. Step 4: Simplify right side
    2,723.97x = 3,171,306.43
  5. Step 5: Solve for x
    x = 3,171,306.43/2,723.97
  6. Step 6: Final answer
    x = 1,164.22

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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.