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Finding the Fourth Proportional to 2,852.75, 4,279.12 and 905.11

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Solution

The fourth proportional to 2,852.75, 4,279.12 and 905.11 is: 1,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.75 : 4,279.12 = 905.11 : x
  2. Step 2: Convert to fraction form
    2,852.75/4,279.12 = 905.11/x
  3. Step 3: Cross multiply
    2,852.75x = 4,279.12 × 905.11
  4. Step 4: Simplify right side
    2,852.75x = 3,873,061.34
  5. Step 5: Solve for x
    x = 3,873,061.34/2,852.75
  6. Step 6: Final answer
    x = 1,357.66

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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.