Home / 1,406.13-2,109.49-540.44

Finding the Fourth Proportional to 1,406.13, 2,109.49 and 540.44

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Solution

The fourth proportional to 1,406.13, 2,109.49 and 540.44 is: 810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.13 : 2,109.49 = 540.44 : x
  2. Step 2: Convert to fraction form
    1,406.13/2,109.49 = 540.44/x
  3. Step 3: Cross multiply
    1,406.13x = 2,109.49 × 540.44
  4. Step 4: Simplify right side
    1,406.13x = 1,140,052.78
  5. Step 5: Solve for x
    x = 1,140,052.78/1,406.13
  6. Step 6: Final answer
    x = 810.77

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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.