Home / 1,384.26-2,076.84-923.91

Finding the Fourth Proportional to 1,384.26, 2,076.84 and 923.91

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Solution

The fourth proportional to 1,384.26, 2,076.84 and 923.91 is: 1,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.26 : 2,076.84 = 923.91 : x
  2. Step 2: Convert to fraction form
    1,384.26/2,076.84 = 923.91/x
  3. Step 3: Cross multiply
    1,384.26x = 2,076.84 × 923.91
  4. Step 4: Simplify right side
    1,384.26x = 1,918,813.24
  5. Step 5: Solve for x
    x = 1,918,813.24/1,384.26
  6. Step 6: Final answer
    x = 1,386.17

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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.