Home / 1,356.24-2,033.28-923.52

Finding the Fourth Proportional to 1,356.24, 2,033.28 and 923.52

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Solution

The fourth proportional to 1,356.24, 2,033.28 and 923.52 is: 1,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.24 : 2,033.28 = 923.52 : x
  2. Step 2: Convert to fraction form
    1,356.24/2,033.28 = 923.52/x
  3. Step 3: Cross multiply
    1,356.24x = 2,033.28 × 923.52
  4. Step 4: Simplify right side
    1,356.24x = 1,877,774.75
  5. Step 5: Solve for x
    x = 1,877,774.75/1,356.24
  6. Step 6: Final answer
    x = 1,384.54

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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.