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Finding the Fourth Proportional to 2,658.61, 3,668.76 and 1,463.56

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Solution

The fourth proportional to 2,658.61, 3,668.76 and 1,463.56 is: 2,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.61 : 3,668.76 = 1,463.56 : x
  2. Step 2: Convert to fraction form
    2,658.61/3,668.76 = 1,463.56/x
  3. Step 3: Cross multiply
    2,658.61x = 3,668.76 × 1,463.56
  4. Step 4: Simplify right side
    2,658.61x = 5,369,450.39
  5. Step 5: Solve for x
    x = 5,369,450.39/2,658.61
  6. Step 6: Final answer
    x = 2,019.65

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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.