Home / 3,106.12-4,286.76-1,780

Finding the Fourth Proportional to 3,106.12, 4,286.76 and 1,780

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Solution

The fourth proportional to 3,106.12, 4,286.76 and 1,780 is: 2,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.12 : 4,286.76 = 1,780 : x
  2. Step 2: Convert to fraction form
    3,106.12/4,286.76 = 1,780/x
  3. Step 3: Cross multiply
    3,106.12x = 4,286.76 × 1,780
  4. Step 4: Simplify right side
    3,106.12x = 7,630,432.80
  5. Step 5: Solve for x
    x = 7,630,432.80/3,106.12
  6. Step 6: Final answer
    x = 2,456.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.