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Finding the Fourth Proportional to 2,448.92, 3,379.76 and 1,401

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Solution

The fourth proportional to 2,448.92, 3,379.76 and 1,401 is: 1,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.92 : 3,379.76 = 1,401 : x
  2. Step 2: Convert to fraction form
    2,448.92/3,379.76 = 1,401/x
  3. Step 3: Cross multiply
    2,448.92x = 3,379.76 × 1,401
  4. Step 4: Simplify right side
    2,448.92x = 4,735,043.76
  5. Step 5: Solve for x
    x = 4,735,043.76/2,448.92
  6. Step 6: Final answer
    x = 1,933.52

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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.