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Finding the Fourth Proportional to 2,597.22, 3,585.96 and 2,431.98

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Solution

The fourth proportional to 2,597.22, 3,585.96 and 2,431.98 is: 3,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.22 : 3,585.96 = 2,431.98 : x
  2. Step 2: Convert to fraction form
    2,597.22/3,585.96 = 2,431.98/x
  3. Step 3: Cross multiply
    2,597.22x = 3,585.96 × 2,431.98
  4. Step 4: Simplify right side
    2,597.22x = 8,720,983.00
  5. Step 5: Solve for x
    x = 8,720,983.00/2,597.22
  6. Step 6: Final answer
    x = 3,357.81

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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.