Home / 1,652.94-2,480.63-923.13

Finding the Fourth Proportional to 1,652.94, 2,480.63 and 923.13

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Solution

The fourth proportional to 1,652.94, 2,480.63 and 923.13 is: 1,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.94 : 2,480.63 = 923.13 : x
  2. Step 2: Convert to fraction form
    1,652.94/2,480.63 = 923.13/x
  3. Step 3: Cross multiply
    1,652.94x = 2,480.63 × 923.13
  4. Step 4: Simplify right side
    1,652.94x = 2,289,939.36
  5. Step 5: Solve for x
    x = 2,289,939.36/1,652.94
  6. Step 6: Final answer
    x = 1,385.37

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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.