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Finding the Fourth Proportional to 2,094.66, 3,138.75 and 795.42

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Solution

The fourth proportional to 2,094.66, 3,138.75 and 795.42 is: 1,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.66 : 3,138.75 = 795.42 : x
  2. Step 2: Convert to fraction form
    2,094.66/3,138.75 = 795.42/x
  3. Step 3: Cross multiply
    2,094.66x = 3,138.75 × 795.42
  4. Step 4: Simplify right side
    2,094.66x = 2,496,624.53
  5. Step 5: Solve for x
    x = 2,496,624.53/2,094.66
  6. Step 6: Final answer
    x = 1,191.90

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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.