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Finding the Fourth Proportional to 3,305.82, 4,562.13 and 1,813.83

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Solution

The fourth proportional to 3,305.82, 4,562.13 and 1,813.83 is: 2,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.82 : 4,562.13 = 1,813.83 : x
  2. Step 2: Convert to fraction form
    3,305.82/4,562.13 = 1,813.83/x
  3. Step 3: Cross multiply
    3,305.82x = 4,562.13 × 1,813.83
  4. Step 4: Simplify right side
    3,305.82x = 8,274,928.26
  5. Step 5: Solve for x
    x = 8,274,928.26/3,305.82
  6. Step 6: Final answer
    x = 2,503.14

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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.