Home / 2,094.24-3,141.36-534.24

Finding the Fourth Proportional to 2,094.24, 3,141.36 and 534.24

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Solution

The fourth proportional to 2,094.24, 3,141.36 and 534.24 is: 801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.24 : 3,141.36 = 534.24 : x
  2. Step 2: Convert to fraction form
    2,094.24/3,141.36 = 534.24/x
  3. Step 3: Cross multiply
    2,094.24x = 3,141.36 × 534.24
  4. Step 4: Simplify right side
    2,094.24x = 1,678,240.17
  5. Step 5: Solve for x
    x = 1,678,240.17/2,094.24
  6. Step 6: Final answer
    x = 801.36

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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.