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Finding the Fourth Proportional to 3,145.56, 4,718.50 and 1,197.92

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Solution

The fourth proportional to 3,145.56, 4,718.50 and 1,197.92 is: 1,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.56 : 4,718.50 = 1,197.92 : x
  2. Step 2: Convert to fraction form
    3,145.56/4,718.50 = 1,197.92/x
  3. Step 3: Cross multiply
    3,145.56x = 4,718.50 × 1,197.92
  4. Step 4: Simplify right side
    3,145.56x = 5,652,385.52
  5. Step 5: Solve for x
    x = 5,652,385.52/3,145.56
  6. Step 6: Final answer
    x = 1,796.94

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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.