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Finding the Fourth Proportional to 2,840.82, 4,258.50 and 892.58

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Solution

The fourth proportional to 2,840.82, 4,258.50 and 892.58 is: 1,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.82 : 4,258.50 = 892.58 : x
  2. Step 2: Convert to fraction form
    2,840.82/4,258.50 = 892.58/x
  3. Step 3: Cross multiply
    2,840.82x = 4,258.50 × 892.58
  4. Step 4: Simplify right side
    2,840.82x = 3,801,030.64
  5. Step 5: Solve for x
    x = 3,801,030.64/2,840.82
  6. Step 6: Final answer
    x = 1,338.00

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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.