Home / 2,102.24-3,153.36-1,796.16

Finding the Fourth Proportional to 2,102.24, 3,153.36 and 1,796.16

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Solution

The fourth proportional to 2,102.24, 3,153.36 and 1,796.16 is: 2,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.24 : 3,153.36 = 1,796.16 : x
  2. Step 2: Convert to fraction form
    2,102.24/3,153.36 = 1,796.16/x
  3. Step 3: Cross multiply
    2,102.24x = 3,153.36 × 1,796.16
  4. Step 4: Simplify right side
    2,102.24x = 5,663,939.10
  5. Step 5: Solve for x
    x = 5,663,939.10/2,102.24
  6. Step 6: Final answer
    x = 2,694.24

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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.