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Finding the Fourth Proportional to 2,876.58, 3,971.30 and 1,882.88

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Solution

The fourth proportional to 2,876.58, 3,971.30 and 1,882.88 is: 2,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.58 : 3,971.30 = 1,882.88 : x
  2. Step 2: Convert to fraction form
    2,876.58/3,971.30 = 1,882.88/x
  3. Step 3: Cross multiply
    2,876.58x = 3,971.30 × 1,882.88
  4. Step 4: Simplify right side
    2,876.58x = 7,477,481.34
  5. Step 5: Solve for x
    x = 7,477,481.34/2,876.58
  6. Step 6: Final answer
    x = 2,599.43

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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.