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Finding the Fourth Proportional to 2,635.23, 3,644.60 and 2,354.97

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Solution

The fourth proportional to 2,635.23, 3,644.60 and 2,354.97 is: 3,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.23 : 3,644.60 = 2,354.97 : x
  2. Step 2: Convert to fraction form
    2,635.23/3,644.60 = 2,354.97/x
  3. Step 3: Cross multiply
    2,635.23x = 3,644.60 × 2,354.97
  4. Step 4: Simplify right side
    2,635.23x = 8,582,925.55
  5. Step 5: Solve for x
    x = 8,582,925.55/2,635.23
  6. Step 6: Final answer
    x = 3,256.99

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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.