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Finding the Fourth Proportional to 2,764.60, 3,812.55 and 2,134.12

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Solution

The fourth proportional to 2,764.60, 3,812.55 and 2,134.12 is: 2,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.60 : 3,812.55 = 2,134.12 : x
  2. Step 2: Convert to fraction form
    2,764.60/3,812.55 = 2,134.12/x
  3. Step 3: Cross multiply
    2,764.60x = 3,812.55 × 2,134.12
  4. Step 4: Simplify right side
    2,764.60x = 8,136,439.21
  5. Step 5: Solve for x
    x = 8,136,439.21/2,764.60
  6. Step 6: Final answer
    x = 2,943.08

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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.