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Finding the Fourth Proportional to 2,664.96, 3,994.74 and 1,276.26

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Solution

The fourth proportional to 2,664.96, 3,994.74 and 1,276.26 is: 1,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.96 : 3,994.74 = 1,276.26 : x
  2. Step 2: Convert to fraction form
    2,664.96/3,994.74 = 1,276.26/x
  3. Step 3: Cross multiply
    2,664.96x = 3,994.74 × 1,276.26
  4. Step 4: Simplify right side
    2,664.96x = 5,098,326.87
  5. Step 5: Solve for x
    x = 5,098,326.87/2,664.96
  6. Step 6: Final answer
    x = 1,913.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.