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Finding the Fourth Proportional to 2,588.46, 3,876.36 and 2,424.48

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Solution

The fourth proportional to 2,588.46, 3,876.36 and 2,424.48 is: 3,630.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.46 : 3,876.36 = 2,424.48 : x
  2. Step 2: Convert to fraction form
    2,588.46/3,876.36 = 2,424.48/x
  3. Step 3: Cross multiply
    2,588.46x = 3,876.36 × 2,424.48
  4. Step 4: Simplify right side
    2,588.46x = 9,398,157.29
  5. Step 5: Solve for x
    x = 9,398,157.29/2,588.46
  6. Step 6: Final answer
    x = 3,630.79

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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.