Home / 1,384.04-2,076.36-410.24

Finding the Fourth Proportional to 1,384.04, 2,076.36 and 410.24

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Solution

The fourth proportional to 1,384.04, 2,076.36 and 410.24 is: 615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.04 : 2,076.36 = 410.24 : x
  2. Step 2: Convert to fraction form
    1,384.04/2,076.36 = 410.24/x
  3. Step 3: Cross multiply
    1,384.04x = 2,076.36 × 410.24
  4. Step 4: Simplify right side
    1,384.04x = 851,805.93
  5. Step 5: Solve for x
    x = 851,805.93/1,384.04
  6. Step 6: Final answer
    x = 615.45

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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.