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Finding the Fourth Proportional to 2,762.66, 4,138.78 and 2,139.03

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Solution

The fourth proportional to 2,762.66, 4,138.78 and 2,139.03 is: 3,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.66 : 4,138.78 = 2,139.03 : x
  2. Step 2: Convert to fraction form
    2,762.66/4,138.78 = 2,139.03/x
  3. Step 3: Cross multiply
    2,762.66x = 4,138.78 × 2,139.03
  4. Step 4: Simplify right side
    2,762.66x = 8,852,969.24
  5. Step 5: Solve for x
    x = 8,852,969.24/2,762.66
  6. Step 6: Final answer
    x = 3,204.51

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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.