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Finding the Fourth Proportional to 2,701.66, 4,052.50 and 1,824.81

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Solution

The fourth proportional to 2,701.66, 4,052.50 and 1,824.81 is: 2,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.66 : 4,052.50 = 1,824.81 : x
  2. Step 2: Convert to fraction form
    2,701.66/4,052.50 = 1,824.81/x
  3. Step 3: Cross multiply
    2,701.66x = 4,052.50 × 1,824.81
  4. Step 4: Simplify right side
    2,701.66x = 7,395,042.53
  5. Step 5: Solve for x
    x = 7,395,042.53/2,701.66
  6. Step 6: Final answer
    x = 2,737.22

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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.