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Finding the Fourth Proportional to 2,597.64, 3,588.36 and 2,317.78

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Solution

The fourth proportional to 2,597.64, 3,588.36 and 2,317.78 is: 3,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.64 : 3,588.36 = 2,317.78 : x
  2. Step 2: Convert to fraction form
    2,597.64/3,588.36 = 2,317.78/x
  3. Step 3: Cross multiply
    2,597.64x = 3,588.36 × 2,317.78
  4. Step 4: Simplify right side
    2,597.64x = 8,317,029.04
  5. Step 5: Solve for x
    x = 8,317,029.04/2,597.64
  6. Step 6: Final answer
    x = 3,201.76

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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.