Home / 2,074.14-3,106.89-920.70

Finding the Fourth Proportional to 2,074.14, 3,106.89 and 920.70

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Solution

The fourth proportional to 2,074.14, 3,106.89 and 920.70 is: 1,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.14 : 3,106.89 = 920.70 : x
  2. Step 2: Convert to fraction form
    2,074.14/3,106.89 = 920.70/x
  3. Step 3: Cross multiply
    2,074.14x = 3,106.89 × 920.70
  4. Step 4: Simplify right side
    2,074.14x = 2,860,513.62
  5. Step 5: Solve for x
    x = 2,860,513.62/2,074.14
  6. Step 6: Final answer
    x = 1,379.13

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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.