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Finding the Fourth Proportional to 3,129.35, 4,691.59 and 1,829.30

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Solution

The fourth proportional to 3,129.35, 4,691.59 and 1,829.30 is: 2,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.35 : 4,691.59 = 1,829.30 : x
  2. Step 2: Convert to fraction form
    3,129.35/4,691.59 = 1,829.30/x
  3. Step 3: Cross multiply
    3,129.35x = 4,691.59 × 1,829.30
  4. Step 4: Simplify right side
    3,129.35x = 8,582,297.56
  5. Step 5: Solve for x
    x = 8,582,297.56/3,129.35
  6. Step 6: Final answer
    x = 2,742.52

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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.