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Finding the Fourth Proportional to 2,504.71, 3,757.71 and 1,465.59

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Solution

The fourth proportional to 2,504.71, 3,757.71 and 1,465.59 is: 2,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.71 : 3,757.71 = 1,465.59 : x
  2. Step 2: Convert to fraction form
    2,504.71/3,757.71 = 1,465.59/x
  3. Step 3: Cross multiply
    2,504.71x = 3,757.71 × 1,465.59
  4. Step 4: Simplify right side
    2,504.71x = 5,507,258.80
  5. Step 5: Solve for x
    x = 5,507,258.80/2,504.71
  6. Step 6: Final answer
    x = 2,198.76

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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.