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Finding the Fourth Proportional to 2,658.27, 3,668.24 and 1,663.50

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Solution

The fourth proportional to 2,658.27, 3,668.24 and 1,663.50 is: 2,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.27 : 3,668.24 = 1,663.50 : x
  2. Step 2: Convert to fraction form
    2,658.27/3,668.24 = 1,663.50/x
  3. Step 3: Cross multiply
    2,658.27x = 3,668.24 × 1,663.50
  4. Step 4: Simplify right side
    2,658.27x = 6,102,108.92
  5. Step 5: Solve for x
    x = 6,102,108.92/2,658.27
  6. Step 6: Final answer
    x = 2,295.52

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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.