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Finding the Fourth Proportional to 2,093.14, 3,137.70 and 776.53

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Solution

The fourth proportional to 2,093.14, 3,137.70 and 776.53 is: 1,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.14 : 3,137.70 = 776.53 : x
  2. Step 2: Convert to fraction form
    2,093.14/3,137.70 = 776.53/x
  3. Step 3: Cross multiply
    2,093.14x = 3,137.70 × 776.53
  4. Step 4: Simplify right side
    2,093.14x = 2,436,514.30
  5. Step 5: Solve for x
    x = 2,436,514.30/2,093.14
  6. Step 6: Final answer
    x = 1,164.05

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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.