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Finding the Fourth Proportional to 2,876.30, 3,969.36 and 1,827.75

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Solution

The fourth proportional to 2,876.30, 3,969.36 and 1,827.75 is: 2,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.30 : 3,969.36 = 1,827.75 : x
  2. Step 2: Convert to fraction form
    2,876.30/3,969.36 = 1,827.75/x
  3. Step 3: Cross multiply
    2,876.30x = 3,969.36 × 1,827.75
  4. Step 4: Simplify right side
    2,876.30x = 7,254,997.74
  5. Step 5: Solve for x
    x = 7,254,997.74/2,876.30
  6. Step 6: Final answer
    x = 2,522.34

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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.