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Finding the Fourth Proportional to 3,229.90, 4,457.32 and 1,813.90

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Solution

The fourth proportional to 3,229.90, 4,457.32 and 1,813.90 is: 2,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.90 : 4,457.32 = 1,813.90 : x
  2. Step 2: Convert to fraction form
    3,229.90/4,457.32 = 1,813.90/x
  3. Step 3: Cross multiply
    3,229.90x = 4,457.32 × 1,813.90
  4. Step 4: Simplify right side
    3,229.90x = 8,085,132.75
  5. Step 5: Solve for x
    x = 8,085,132.75/3,229.90
  6. Step 6: Final answer
    x = 2,503.21

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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.