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Finding the Fourth Proportional to 2,142.68, 2,956.71 and 1,198.39

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Solution

The fourth proportional to 2,142.68, 2,956.71 and 1,198.39 is: 1,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.68 : 2,956.71 = 1,198.39 : x
  2. Step 2: Convert to fraction form
    2,142.68/2,956.71 = 1,198.39/x
  3. Step 3: Cross multiply
    2,142.68x = 2,956.71 × 1,198.39
  4. Step 4: Simplify right side
    2,142.68x = 3,543,291.70
  5. Step 5: Solve for x
    x = 3,543,291.70/2,142.68
  6. Step 6: Final answer
    x = 1,653.67

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Why These Related Problems?

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