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Finding the Fourth Proportional to 2,059.76, 3,091.08 and 905.12

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Solution

The fourth proportional to 2,059.76, 3,091.08 and 905.12 is: 1,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.76 : 3,091.08 = 905.12 : x
  2. Step 2: Convert to fraction form
    2,059.76/3,091.08 = 905.12/x
  3. Step 3: Cross multiply
    2,059.76x = 3,091.08 × 905.12
  4. Step 4: Simplify right side
    2,059.76x = 2,797,798.33
  5. Step 5: Solve for x
    x = 2,797,798.33/2,059.76
  6. Step 6: Final answer
    x = 1,358.31

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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.