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Finding the Fourth Proportional to 3,230.75, 4,457.75 and 1,903.97

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Solution

The fourth proportional to 3,230.75, 4,457.75 and 1,903.97 is: 2,627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.75 : 4,457.75 = 1,903.97 : x
  2. Step 2: Convert to fraction form
    3,230.75/4,457.75 = 1,903.97/x
  3. Step 3: Cross multiply
    3,230.75x = 4,457.75 × 1,903.97
  4. Step 4: Simplify right side
    3,230.75x = 8,487,422.27
  5. Step 5: Solve for x
    x = 8,487,422.27/3,230.75
  6. Step 6: Final answer
    x = 2,627.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.