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Finding the Fourth Proportional to 2,678.75, 4,016.69 and 829.37

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Solution

The fourth proportional to 2,678.75, 4,016.69 and 829.37 is: 1,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.75 : 4,016.69 = 829.37 : x
  2. Step 2: Convert to fraction form
    2,678.75/4,016.69 = 829.37/x
  3. Step 3: Cross multiply
    2,678.75x = 4,016.69 × 829.37
  4. Step 4: Simplify right side
    2,678.75x = 3,331,331.19
  5. Step 5: Solve for x
    x = 3,331,331.19/2,678.75
  6. Step 6: Final answer
    x = 1,243.61

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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.