Home / 1,496.09-2,232.81-1,457.21

Finding the Fourth Proportional to 1,496.09, 2,232.81 and 1,457.21

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Solution

The fourth proportional to 1,496.09, 2,232.81 and 1,457.21 is: 2,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.09 : 2,232.81 = 1,457.21 : x
  2. Step 2: Convert to fraction form
    1,496.09/2,232.81 = 1,457.21/x
  3. Step 3: Cross multiply
    1,496.09x = 2,232.81 × 1,457.21
  4. Step 4: Simplify right side
    1,496.09x = 3,253,661.90
  5. Step 5: Solve for x
    x = 3,253,661.90/1,496.09
  6. Step 6: Final answer
    x = 2,174.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.