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Finding the Fourth Proportional to 2,600.42, 3,920.00 and 2,431.13

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Solution

The fourth proportional to 2,600.42, 3,920.00 and 2,431.13 is: 3,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.42 : 3,920.00 = 2,431.13 : x
  2. Step 2: Convert to fraction form
    2,600.42/3,920.00 = 2,431.13/x
  3. Step 3: Cross multiply
    2,600.42x = 3,920.00 × 2,431.13
  4. Step 4: Simplify right side
    2,600.42x = 9,529,997.84
  5. Step 5: Solve for x
    x = 9,529,997.84/2,600.42
  6. Step 6: Final answer
    x = 3,664.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.