Home / 1,496.41-2,242.93-727.45

Finding the Fourth Proportional to 1,496.41, 2,242.93 and 727.45

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Solution

The fourth proportional to 1,496.41, 2,242.93 and 727.45 is: 1,090.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.41 : 2,242.93 = 727.45 : x
  2. Step 2: Convert to fraction form
    1,496.41/2,242.93 = 727.45/x
  3. Step 3: Cross multiply
    1,496.41x = 2,242.93 × 727.45
  4. Step 4: Simplify right side
    1,496.41x = 1,631,619.43
  5. Step 5: Solve for x
    x = 1,631,619.43/1,496.41
  6. Step 6: Final answer
    x = 1,090.36

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Why These Related Problems?

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