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Finding the Fourth Proportional to 2,698.48, 4,049.92 and 1,400.32

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Solution

The fourth proportional to 2,698.48, 4,049.92 and 1,400.32 is: 2,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.48 : 4,049.92 = 1,400.32 : x
  2. Step 2: Convert to fraction form
    2,698.48/4,049.92 = 1,400.32/x
  3. Step 3: Cross multiply
    2,698.48x = 4,049.92 × 1,400.32
  4. Step 4: Simplify right side
    2,698.48x = 5,671,183.97
  5. Step 5: Solve for x
    x = 5,671,183.97/2,698.48
  6. Step 6: Final answer
    x = 2,101.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.