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Finding the Fourth Proportional to 2,422.84, 3,343.80 and 1,638.76

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Solution

The fourth proportional to 2,422.84, 3,343.80 and 1,638.76 is: 2,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.84 : 3,343.80 = 1,638.76 : x
  2. Step 2: Convert to fraction form
    2,422.84/3,343.80 = 1,638.76/x
  3. Step 3: Cross multiply
    2,422.84x = 3,343.80 × 1,638.76
  4. Step 4: Simplify right side
    2,422.84x = 5,479,685.69
  5. Step 5: Solve for x
    x = 5,479,685.69/2,422.84
  6. Step 6: Final answer
    x = 2,261.68

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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.