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Finding the Fourth Proportional to 2,305.46, 3,461.84 and 1,820.68

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Solution

The fourth proportional to 2,305.46, 3,461.84 and 1,820.68 is: 2,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.46 : 3,461.84 = 1,820.68 : x
  2. Step 2: Convert to fraction form
    2,305.46/3,461.84 = 1,820.68/x
  3. Step 3: Cross multiply
    2,305.46x = 3,461.84 × 1,820.68
  4. Step 4: Simplify right side
    2,305.46x = 6,302,891.92
  5. Step 5: Solve for x
    x = 6,302,891.92/2,305.46
  6. Step 6: Final answer
    x = 2,733.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.