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Finding the Fourth Proportional to 2,587.41, 3,879.09 and 1,763.64

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Solution

The fourth proportional to 2,587.41, 3,879.09 and 1,763.64 is: 2,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.41 : 3,879.09 = 1,763.64 : x
  2. Step 2: Convert to fraction form
    2,587.41/3,879.09 = 1,763.64/x
  3. Step 3: Cross multiply
    2,587.41x = 3,879.09 × 1,763.64
  4. Step 4: Simplify right side
    2,587.41x = 6,841,318.29
  5. Step 5: Solve for x
    x = 6,841,318.29/2,587.41
  6. Step 6: Final answer
    x = 2,644.08

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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.