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Finding the Fourth Proportional to 2,664.68, 3,680.56 and 1,882.22

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Solution

The fourth proportional to 2,664.68, 3,680.56 and 1,882.22 is: 2,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.68 : 3,680.56 = 1,882.22 : x
  2. Step 2: Convert to fraction form
    2,664.68/3,680.56 = 1,882.22/x
  3. Step 3: Cross multiply
    2,664.68x = 3,680.56 × 1,882.22
  4. Step 4: Simplify right side
    2,664.68x = 6,927,623.64
  5. Step 5: Solve for x
    x = 6,927,623.64/2,664.68
  6. Step 6: Final answer
    x = 2,599.80

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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.