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Finding the Fourth Proportional to 2,078.82, 2,868.80 and 1,147.32

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Solution

The fourth proportional to 2,078.82, 2,868.80 and 1,147.32 is: 1,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.82 : 2,868.80 = 1,147.32 : x
  2. Step 2: Convert to fraction form
    2,078.82/2,868.80 = 1,147.32/x
  3. Step 3: Cross multiply
    2,078.82x = 2,868.80 × 1,147.32
  4. Step 4: Simplify right side
    2,078.82x = 3,291,425.88
  5. Step 5: Solve for x
    x = 3,291,425.88/2,078.82
  6. Step 6: Final answer
    x = 1,583.31

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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.