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Finding the Fourth Proportional to 3,452.25, 4,764.65 and 2,055.81

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Solution

The fourth proportional to 3,452.25, 4,764.65 and 2,055.81 is: 2,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.25 : 4,764.65 = 2,055.81 : x
  2. Step 2: Convert to fraction form
    3,452.25/4,764.65 = 2,055.81/x
  3. Step 3: Cross multiply
    3,452.25x = 4,764.65 × 2,055.81
  4. Step 4: Simplify right side
    3,452.25x = 9,795,204.84
  5. Step 5: Solve for x
    x = 9,795,204.84/3,452.25
  6. Step 6: Final answer
    x = 2,837.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.