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Finding the Fourth Proportional to 2,558.00, 3,833.55 and 1,322.82

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Solution

The fourth proportional to 2,558.00, 3,833.55 and 1,322.82 is: 1,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.00 : 3,833.55 = 1,322.82 : x
  2. Step 2: Convert to fraction form
    2,558.00/3,833.55 = 1,322.82/x
  3. Step 3: Cross multiply
    2,558.00x = 3,833.55 × 1,322.82
  4. Step 4: Simplify right side
    2,558.00x = 5,071,096.61
  5. Step 5: Solve for x
    x = 5,071,096.61/2,558.00
  6. Step 6: Final answer
    x = 1,982.45

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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.