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Finding the Fourth Proportional to 3,129.44, 4,699.54 and 2,778.84

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Solution

The fourth proportional to 3,129.44, 4,699.54 and 2,778.84 is: 4,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.44 : 4,699.54 = 2,778.84 : x
  2. Step 2: Convert to fraction form
    3,129.44/4,699.54 = 2,778.84/x
  3. Step 3: Cross multiply
    3,129.44x = 4,699.54 × 2,778.84
  4. Step 4: Simplify right side
    3,129.44x = 13,059,257.58
  5. Step 5: Solve for x
    x = 13,059,257.58/3,129.44
  6. Step 6: Final answer
    x = 4,173.03

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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.