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Finding the Fourth Proportional to 3,174.52, 4,763.18 and 1,094.84

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Solution

The fourth proportional to 3,174.52, 4,763.18 and 1,094.84 is: 1,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.52 : 4,763.18 = 1,094.84 : x
  2. Step 2: Convert to fraction form
    3,174.52/4,763.18 = 1,094.84/x
  3. Step 3: Cross multiply
    3,174.52x = 4,763.18 × 1,094.84
  4. Step 4: Simplify right side
    3,174.52x = 5,214,919.99
  5. Step 5: Solve for x
    x = 5,214,919.99/3,174.52
  6. Step 6: Final answer
    x = 1,642.74

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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.