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Finding the Fourth Proportional to 2,804.88, 4,213.80 and 2,720.64

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Solution

The fourth proportional to 2,804.88, 4,213.80 and 2,720.64 is: 4,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.88 : 4,213.80 = 2,720.64 : x
  2. Step 2: Convert to fraction form
    2,804.88/4,213.80 = 2,720.64/x
  3. Step 3: Cross multiply
    2,804.88x = 4,213.80 × 2,720.64
  4. Step 4: Simplify right side
    2,804.88x = 11,464,232.83
  5. Step 5: Solve for x
    x = 11,464,232.83/2,804.88
  6. Step 6: Final answer
    x = 4,087.25

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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.