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Finding the Fourth Proportional to 3,098.70, 4,274.38 and 1,918.92

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Solution

The fourth proportional to 3,098.70, 4,274.38 and 1,918.92 is: 2,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.70 : 4,274.38 = 1,918.92 : x
  2. Step 2: Convert to fraction form
    3,098.70/4,274.38 = 1,918.92/x
  3. Step 3: Cross multiply
    3,098.70x = 4,274.38 × 1,918.92
  4. Step 4: Simplify right side
    3,098.70x = 8,202,193.27
  5. Step 5: Solve for x
    x = 8,202,193.27/3,098.70
  6. Step 6: Final answer
    x = 2,646.98

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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.