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Finding the Fourth Proportional to 2,640.35, 3,650.64 and 2,312.30

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Solution

The fourth proportional to 2,640.35, 3,650.64 and 2,312.30 is: 3,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.35 : 3,650.64 = 2,312.30 : x
  2. Step 2: Convert to fraction form
    2,640.35/3,650.64 = 2,312.30/x
  3. Step 3: Cross multiply
    2,640.35x = 3,650.64 × 2,312.30
  4. Step 4: Simplify right side
    2,640.35x = 8,441,374.87
  5. Step 5: Solve for x
    x = 8,441,374.87/2,640.35
  6. Step 6: Final answer
    x = 3,197.07

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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.