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Finding the Fourth Proportional to 2,842.75, 4,263.72 and 894.97

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Solution

The fourth proportional to 2,842.75, 4,263.72 and 894.97 is: 1,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.75 : 4,263.72 = 894.97 : x
  2. Step 2: Convert to fraction form
    2,842.75/4,263.72 = 894.97/x
  3. Step 3: Cross multiply
    2,842.75x = 4,263.72 × 894.97
  4. Step 4: Simplify right side
    2,842.75x = 3,815,901.49
  5. Step 5: Solve for x
    x = 3,815,901.49/2,842.75
  6. Step 6: Final answer
    x = 1,342.33

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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.