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Finding the Fourth Proportional to 2,457.86, 3,391.97 and 1,409.90

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Solution

The fourth proportional to 2,457.86, 3,391.97 and 1,409.90 is: 1,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.86 : 3,391.97 = 1,409.90 : x
  2. Step 2: Convert to fraction form
    2,457.86/3,391.97 = 1,409.90/x
  3. Step 3: Cross multiply
    2,457.86x = 3,391.97 × 1,409.90
  4. Step 4: Simplify right side
    2,457.86x = 4,782,314.49
  5. Step 5: Solve for x
    x = 4,782,314.49/2,457.86
  6. Step 6: Final answer
    x = 1,945.73

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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.