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Finding the Fourth Proportional to 2,883.88, 4,325.37 and 804.07

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Solution

The fourth proportional to 2,883.88, 4,325.37 and 804.07 is: 1,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.88 : 4,325.37 = 804.07 : x
  2. Step 2: Convert to fraction form
    2,883.88/4,325.37 = 804.07/x
  3. Step 3: Cross multiply
    2,883.88x = 4,325.37 × 804.07
  4. Step 4: Simplify right side
    2,883.88x = 3,477,900.26
  5. Step 5: Solve for x
    x = 3,477,900.26/2,883.88
  6. Step 6: Final answer
    x = 1,205.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.