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Finding the Fourth Proportional to 2,744.76, 4,118.31 and 1,820.64

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Solution

The fourth proportional to 2,744.76, 4,118.31 and 1,820.64 is: 2,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.76 : 4,118.31 = 1,820.64 : x
  2. Step 2: Convert to fraction form
    2,744.76/4,118.31 = 1,820.64/x
  3. Step 3: Cross multiply
    2,744.76x = 4,118.31 × 1,820.64
  4. Step 4: Simplify right side
    2,744.76x = 7,497,959.92
  5. Step 5: Solve for x
    x = 7,497,959.92/2,744.76
  6. Step 6: Final answer
    x = 2,731.74

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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.