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Finding the Fourth Proportional to 2,156.79, 2,976.61 and 1,199.79

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Solution

The fourth proportional to 2,156.79, 2,976.61 and 1,199.79 is: 1,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.79 : 2,976.61 = 1,199.79 : x
  2. Step 2: Convert to fraction form
    2,156.79/2,976.61 = 1,199.79/x
  3. Step 3: Cross multiply
    2,156.79x = 2,976.61 × 1,199.79
  4. Step 4: Simplify right side
    2,156.79x = 3,571,309.54
  5. Step 5: Solve for x
    x = 3,571,309.54/2,156.79
  6. Step 6: Final answer
    x = 1,655.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.