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Finding the Fourth Proportional to 2,597.90, 3,588.90 and 2,247.98

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Solution

The fourth proportional to 2,597.90, 3,588.90 and 2,247.98 is: 3,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.90 : 3,588.90 = 2,247.98 : x
  2. Step 2: Convert to fraction form
    2,597.90/3,588.90 = 2,247.98/x
  3. Step 3: Cross multiply
    2,597.90x = 3,588.90 × 2,247.98
  4. Step 4: Simplify right side
    2,597.90x = 8,067,784.39
  5. Step 5: Solve for x
    x = 8,067,784.39/2,597.90
  6. Step 6: Final answer
    x = 3,105.50

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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.