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Finding the Fourth Proportional to 2,296.37, 3,440.72 and 2,104.84

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Solution

The fourth proportional to 2,296.37, 3,440.72 and 2,104.84 is: 3,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.37 : 3,440.72 = 2,104.84 : x
  2. Step 2: Convert to fraction form
    2,296.37/3,440.72 = 2,104.84/x
  3. Step 3: Cross multiply
    2,296.37x = 3,440.72 × 2,104.84
  4. Step 4: Simplify right side
    2,296.37x = 7,242,165.08
  5. Step 5: Solve for x
    x = 7,242,165.08/2,296.37
  6. Step 6: Final answer
    x = 3,153.74

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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.