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Finding the Fourth Proportional to 3,096.85, 4,645.58 and 905.59

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Solution

The fourth proportional to 3,096.85, 4,645.58 and 905.59 is: 1,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.85 : 4,645.58 = 905.59 : x
  2. Step 2: Convert to fraction form
    3,096.85/4,645.58 = 905.59/x
  3. Step 3: Cross multiply
    3,096.85x = 4,645.58 × 905.59
  4. Step 4: Simplify right side
    3,096.85x = 4,206,986.26
  5. Step 5: Solve for x
    x = 4,206,986.26/3,096.85
  6. Step 6: Final answer
    x = 1,358.47

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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.