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Finding the Fourth Proportional to 2,275.96, 3,409.48 and 1,181.04

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Solution

The fourth proportional to 2,275.96, 3,409.48 and 1,181.04 is: 1,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.96 : 3,409.48 = 1,181.04 : x
  2. Step 2: Convert to fraction form
    2,275.96/3,409.48 = 1,181.04/x
  3. Step 3: Cross multiply
    2,275.96x = 3,409.48 × 1,181.04
  4. Step 4: Simplify right side
    2,275.96x = 4,026,732.26
  5. Step 5: Solve for x
    x = 4,026,732.26/2,275.96
  6. Step 6: Final answer
    x = 1,769.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.