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Finding the Fourth Proportional to 2,458.13, 3,391.83 and 1,409.99

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Solution

The fourth proportional to 2,458.13, 3,391.83 and 1,409.99 is: 1,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.13 : 3,391.83 = 1,409.99 : x
  2. Step 2: Convert to fraction form
    2,458.13/3,391.83 = 1,409.99/x
  3. Step 3: Cross multiply
    2,458.13x = 3,391.83 × 1,409.99
  4. Step 4: Simplify right side
    2,458.13x = 4,782,446.38
  5. Step 5: Solve for x
    x = 4,782,446.38/2,458.13
  6. Step 6: Final answer
    x = 1,945.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.