Home / 1,496.75-2,247.62-923.27

Finding the Fourth Proportional to 1,496.75, 2,247.62 and 923.27

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Solution

The fourth proportional to 1,496.75, 2,247.62 and 923.27 is: 1,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.75 : 2,247.62 = 923.27 : x
  2. Step 2: Convert to fraction form
    1,496.75/2,247.62 = 923.27/x
  3. Step 3: Cross multiply
    1,496.75x = 2,247.62 × 923.27
  4. Step 4: Simplify right side
    1,496.75x = 2,075,144.26
  5. Step 5: Solve for x
    x = 2,075,144.26/1,496.75
  6. Step 6: Final answer
    x = 1,386.44

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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.