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Finding the Fourth Proportional to 4,695, 7,045.92 and 2,098.68

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Solution

The fourth proportional to 4,695, 7,045.92 and 2,098.68 is: 3,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695 : 7,045.92 = 2,098.68 : x
  2. Step 2: Convert to fraction form
    4,695/7,045.92 = 2,098.68/x
  3. Step 3: Cross multiply
    4,695x = 7,045.92 × 2,098.68
  4. Step 4: Simplify right side
    4,695x = 14,787,131.39
  5. Step 5: Solve for x
    x = 14,787,131.39/4,695
  6. Step 6: Final answer
    x = 3,149.55

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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.