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Finding the Fourth Proportional to 2,305.81, 3,457.34 and 1,073.49

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Solution

The fourth proportional to 2,305.81, 3,457.34 and 1,073.49 is: 1,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.81 : 3,457.34 = 1,073.49 : x
  2. Step 2: Convert to fraction form
    2,305.81/3,457.34 = 1,073.49/x
  3. Step 3: Cross multiply
    2,305.81x = 3,457.34 × 1,073.49
  4. Step 4: Simplify right side
    2,305.81x = 3,711,414.55
  5. Step 5: Solve for x
    x = 3,711,414.55/2,305.81
  6. Step 6: Final answer
    x = 1,609.60

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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.