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Finding the Fourth Proportional to 2,704.34, 3,733.13 and 1,820.68

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Solution

The fourth proportional to 2,704.34, 3,733.13 and 1,820.68 is: 2,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.34 : 3,733.13 = 1,820.68 : x
  2. Step 2: Convert to fraction form
    2,704.34/3,733.13 = 1,820.68/x
  3. Step 3: Cross multiply
    2,704.34x = 3,733.13 × 1,820.68
  4. Step 4: Simplify right side
    2,704.34x = 6,796,835.13
  5. Step 5: Solve for x
    x = 6,796,835.13/2,704.34
  6. Step 6: Final answer
    x = 2,513.31

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