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Finding the Fourth Proportional to 2,305.92, 3,459.33 and 746.31

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Solution

The fourth proportional to 2,305.92, 3,459.33 and 746.31 is: 1,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.92 : 3,459.33 = 746.31 : x
  2. Step 2: Convert to fraction form
    2,305.92/3,459.33 = 746.31/x
  3. Step 3: Cross multiply
    2,305.92x = 3,459.33 × 746.31
  4. Step 4: Simplify right side
    2,305.92x = 2,581,732.57
  5. Step 5: Solve for x
    x = 2,581,732.57/2,305.92
  6. Step 6: Final answer
    x = 1,119.61

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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.