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Finding the Fourth Proportional to 2,791.80, 3,841.34 and 2,417.64

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Solution

The fourth proportional to 2,791.80, 3,841.34 and 2,417.64 is: 3,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.80 : 3,841.34 = 2,417.64 : x
  2. Step 2: Convert to fraction form
    2,791.80/3,841.34 = 2,417.64/x
  3. Step 3: Cross multiply
    2,791.80x = 3,841.34 × 2,417.64
  4. Step 4: Simplify right side
    2,791.80x = 9,286,977.24
  5. Step 5: Solve for x
    x = 9,286,977.24/2,791.80
  6. Step 6: Final answer
    x = 3,326.52

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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.