Home / 4,034-6,046.68-1,693.42

Finding the Fourth Proportional to 4,034, 6,046.68 and 1,693.42

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Solution

The fourth proportional to 4,034, 6,046.68 and 1,693.42 is: 2,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034 : 6,046.68 = 1,693.42 : x
  2. Step 2: Convert to fraction form
    4,034/6,046.68 = 1,693.42/x
  3. Step 3: Cross multiply
    4,034x = 6,046.68 × 1,693.42
  4. Step 4: Simplify right side
    4,034x = 10,239,568.85
  5. Step 5: Solve for x
    x = 10,239,568.85/4,034
  6. Step 6: Final answer
    x = 2,538.32

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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.