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Finding the Fourth Proportional to 2,659.68, 3,986.10 and 1,197.72

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Solution

The fourth proportional to 2,659.68, 3,986.10 and 1,197.72 is: 1,795.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.68 : 3,986.10 = 1,197.72 : x
  2. Step 2: Convert to fraction form
    2,659.68/3,986.10 = 1,197.72/x
  3. Step 3: Cross multiply
    2,659.68x = 3,986.10 × 1,197.72
  4. Step 4: Simplify right side
    2,659.68x = 4,774,231.69
  5. Step 5: Solve for x
    x = 4,774,231.69/2,659.68
  6. Step 6: Final answer
    x = 1,795.04

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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.