Home / 1,544.46-2,314.82-712.11

Finding the Fourth Proportional to 1,544.46, 2,314.82 and 712.11

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Solution

The fourth proportional to 1,544.46, 2,314.82 and 712.11 is: 1,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.46 : 2,314.82 = 712.11 : x
  2. Step 2: Convert to fraction form
    1,544.46/2,314.82 = 712.11/x
  3. Step 3: Cross multiply
    1,544.46x = 2,314.82 × 712.11
  4. Step 4: Simplify right side
    1,544.46x = 1,648,402.91
  5. Step 5: Solve for x
    x = 1,648,402.91/1,544.46
  6. Step 6: Final answer
    x = 1,067.30

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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.