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Finding the Fourth Proportional to 2,554.66, 3,829.90 and 1,322.42

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Solution

The fourth proportional to 2,554.66, 3,829.90 and 1,322.42 is: 1,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.66 : 3,829.90 = 1,322.42 : x
  2. Step 2: Convert to fraction form
    2,554.66/3,829.90 = 1,322.42/x
  3. Step 3: Cross multiply
    2,554.66x = 3,829.90 × 1,322.42
  4. Step 4: Simplify right side
    2,554.66x = 5,064,737.84
  5. Step 5: Solve for x
    x = 5,064,737.84/2,554.66
  6. Step 6: Final answer
    x = 1,982.55

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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.