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Finding the Fourth Proportional to 4,658.88, 6,986.92 and 1,696.94

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Solution

The fourth proportional to 4,658.88, 6,986.92 and 1,696.94 is: 2,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.88 : 6,986.92 = 1,696.94 : x
  2. Step 2: Convert to fraction form
    4,658.88/6,986.92 = 1,696.94/x
  3. Step 3: Cross multiply
    4,658.88x = 6,986.92 × 1,696.94
  4. Step 4: Simplify right side
    4,658.88x = 11,856,384.02
  5. Step 5: Solve for x
    x = 11,856,384.02/4,658.88
  6. Step 6: Final answer
    x = 2,544.90

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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.