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Finding the Fourth Proportional to 2,513.70, 3,469.11 and 1,465.68

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Solution

The fourth proportional to 2,513.70, 3,469.11 and 1,465.68 is: 2,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.70 : 3,469.11 = 1,465.68 : x
  2. Step 2: Convert to fraction form
    2,513.70/3,469.11 = 1,465.68/x
  3. Step 3: Cross multiply
    2,513.70x = 3,469.11 × 1,465.68
  4. Step 4: Simplify right side
    2,513.70x = 5,084,605.14
  5. Step 5: Solve for x
    x = 5,084,605.14/2,513.70
  6. Step 6: Final answer
    x = 2,022.76

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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.