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Finding the Fourth Proportional to 2,469, 3,406.93 and 1,406.77

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Solution

The fourth proportional to 2,469, 3,406.93 and 1,406.77 is: 1,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469 : 3,406.93 = 1,406.77 : x
  2. Step 2: Convert to fraction form
    2,469/3,406.93 = 1,406.77/x
  3. Step 3: Cross multiply
    2,469x = 3,406.93 × 1,406.77
  4. Step 4: Simplify right side
    2,469x = 4,792,759.88
  5. Step 5: Solve for x
    x = 4,792,759.88/2,469
  6. Step 6: Final answer
    x = 1,941.17

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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.