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Finding the Fourth Proportional to 2,664.96, 3,677.48 and 1,530.81

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Solution

The fourth proportional to 2,664.96, 3,677.48 and 1,530.81 is: 2,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.96 : 3,677.48 = 1,530.81 : x
  2. Step 2: Convert to fraction form
    2,664.96/3,677.48 = 1,530.81/x
  3. Step 3: Cross multiply
    2,664.96x = 3,677.48 × 1,530.81
  4. Step 4: Simplify right side
    2,664.96x = 5,629,540.78
  5. Step 5: Solve for x
    x = 5,629,540.78/2,664.96
  6. Step 6: Final answer
    x = 2,112.43

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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.