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Finding the Fourth Proportional to 2,600.64, 3,586.68 and 2,341.44

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Solution

The fourth proportional to 2,600.64, 3,586.68 and 2,341.44 is: 3,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.64 : 3,586.68 = 2,341.44 : x
  2. Step 2: Convert to fraction form
    2,600.64/3,586.68 = 2,341.44/x
  3. Step 3: Cross multiply
    2,600.64x = 3,586.68 × 2,341.44
  4. Step 4: Simplify right side
    2,600.64x = 8,397,996.02
  5. Step 5: Solve for x
    x = 8,397,996.02/2,600.64
  6. Step 6: Final answer
    x = 3,229.20

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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.