Home / 1,409.04-2,114.46-543.42

Finding the Fourth Proportional to 1,409.04, 2,114.46 and 543.42

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Solution

The fourth proportional to 1,409.04, 2,114.46 and 543.42 is: 815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.04 : 2,114.46 = 543.42 : x
  2. Step 2: Convert to fraction form
    1,409.04/2,114.46 = 543.42/x
  3. Step 3: Cross multiply
    1,409.04x = 2,114.46 × 543.42
  4. Step 4: Simplify right side
    1,409.04x = 1,149,039.85
  5. Step 5: Solve for x
    x = 1,149,039.85/1,409.04
  6. Step 6: Final answer
    x = 815.48

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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.