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Finding the Fourth Proportional to 2,883.89, 4,325.69 and 804.02

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Solution

The fourth proportional to 2,883.89, 4,325.69 and 804.02 is: 1,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.89 : 4,325.69 = 804.02 : x
  2. Step 2: Convert to fraction form
    2,883.89/4,325.69 = 804.02/x
  3. Step 3: Cross multiply
    2,883.89x = 4,325.69 × 804.02
  4. Step 4: Simplify right side
    2,883.89x = 3,477,921.66
  5. Step 5: Solve for x
    x = 3,477,921.66/2,883.89
  6. Step 6: Final answer
    x = 1,205.98

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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.