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Finding the Fourth Proportional to 2,760.57, 3,808.29 and 1,641.54

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Solution

The fourth proportional to 2,760.57, 3,808.29 and 1,641.54 is: 2,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.57 : 3,808.29 = 1,641.54 : x
  2. Step 2: Convert to fraction form
    2,760.57/3,808.29 = 1,641.54/x
  3. Step 3: Cross multiply
    2,760.57x = 3,808.29 × 1,641.54
  4. Step 4: Simplify right side
    2,760.57x = 6,251,460.37
  5. Step 5: Solve for x
    x = 6,251,460.37/2,760.57
  6. Step 6: Final answer
    x = 2,264.55

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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.