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Finding the Fourth Proportional to 2,640.42, 3,642.64 and 1,591.88

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Solution

The fourth proportional to 2,640.42, 3,642.64 and 1,591.88 is: 2,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.42 : 3,642.64 = 1,591.88 : x
  2. Step 2: Convert to fraction form
    2,640.42/3,642.64 = 1,591.88/x
  3. Step 3: Cross multiply
    2,640.42x = 3,642.64 × 1,591.88
  4. Step 4: Simplify right side
    2,640.42x = 5,798,623.57
  5. Step 5: Solve for x
    x = 5,798,623.57/2,640.42
  6. Step 6: Final answer
    x = 2,196.10

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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.