Home / 1,384.24-2,076.57-410.23

Finding the Fourth Proportional to 1,384.24, 2,076.57 and 410.23

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Solution

The fourth proportional to 1,384.24, 2,076.57 and 410.23 is: 615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.24 : 2,076.57 = 410.23 : x
  2. Step 2: Convert to fraction form
    1,384.24/2,076.57 = 410.23/x
  3. Step 3: Cross multiply
    1,384.24x = 2,076.57 × 410.23
  4. Step 4: Simplify right side
    1,384.24x = 851,871.31
  5. Step 5: Solve for x
    x = 851,871.31/1,384.24
  6. Step 6: Final answer
    x = 615.41

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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.