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Finding the Fourth Proportional to 2,597.36, 3,900.90 and 2,269.31

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Solution

The fourth proportional to 2,597.36, 3,900.90 and 2,269.31 is: 3,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.36 : 3,900.90 = 2,269.31 : x
  2. Step 2: Convert to fraction form
    2,597.36/3,900.90 = 2,269.31/x
  3. Step 3: Cross multiply
    2,597.36x = 3,900.90 × 2,269.31
  4. Step 4: Simplify right side
    2,597.36x = 8,852,351.38
  5. Step 5: Solve for x
    x = 8,852,351.38/2,597.36
  6. Step 6: Final answer
    x = 3,408.21

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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.