Home / 1,617.30-2,424.33-923.13

Finding the Fourth Proportional to 1,617.30, 2,424.33 and 923.13

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Solution

The fourth proportional to 1,617.30, 2,424.33 and 923.13 is: 1,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.30 : 2,424.33 = 923.13 : x
  2. Step 2: Convert to fraction form
    1,617.30/2,424.33 = 923.13/x
  3. Step 3: Cross multiply
    1,617.30x = 2,424.33 × 923.13
  4. Step 4: Simplify right side
    1,617.30x = 2,237,971.75
  5. Step 5: Solve for x
    x = 2,237,971.75/1,617.30
  6. Step 6: Final answer
    x = 1,383.77

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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.