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Finding the Fourth Proportional to 3,452.09, 4,763.97 and 1,880.28

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Solution

The fourth proportional to 3,452.09, 4,763.97 and 1,880.28 is: 2,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.09 : 4,763.97 = 1,880.28 : x
  2. Step 2: Convert to fraction form
    3,452.09/4,763.97 = 1,880.28/x
  3. Step 3: Cross multiply
    3,452.09x = 4,763.97 × 1,880.28
  4. Step 4: Simplify right side
    3,452.09x = 8,957,597.51
  5. Step 5: Solve for x
    x = 8,957,597.51/3,452.09
  6. Step 6: Final answer
    x = 2,594.84

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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.