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Finding the Fourth Proportional to 2,596.67, 3,876.17 and 2,403.96

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Solution

The fourth proportional to 2,596.67, 3,876.17 and 2,403.96 is: 3,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.67 : 3,876.17 = 2,403.96 : x
  2. Step 2: Convert to fraction form
    2,596.67/3,876.17 = 2,403.96/x
  3. Step 3: Cross multiply
    2,596.67x = 3,876.17 × 2,403.96
  4. Step 4: Simplify right side
    2,596.67x = 9,318,157.63
  5. Step 5: Solve for x
    x = 9,318,157.63/2,596.67
  6. Step 6: Final answer
    x = 3,588.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.