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Finding the Fourth Proportional to 3,256.04, 4,493.14 and 1,820.30

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Solution

The fourth proportional to 3,256.04, 4,493.14 and 1,820.30 is: 2,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.04 : 4,493.14 = 1,820.30 : x
  2. Step 2: Convert to fraction form
    3,256.04/4,493.14 = 1,820.30/x
  3. Step 3: Cross multiply
    3,256.04x = 4,493.14 × 1,820.30
  4. Step 4: Simplify right side
    3,256.04x = 8,178,835.73
  5. Step 5: Solve for x
    x = 8,178,835.73/3,256.04
  6. Step 6: Final answer
    x = 2,511.89

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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.