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Finding the Fourth Proportional to 3,021, 4,168.99 and 1,762.92

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Solution

The fourth proportional to 3,021, 4,168.99 and 1,762.92 is: 2,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021 : 4,168.99 = 1,762.92 : x
  2. Step 2: Convert to fraction form
    3,021/4,168.99 = 1,762.92/x
  3. Step 3: Cross multiply
    3,021x = 4,168.99 × 1,762.92
  4. Step 4: Simplify right side
    3,021x = 7,349,613.69
  5. Step 5: Solve for x
    x = 7,349,613.69/3,021
  6. Step 6: Final answer
    x = 2,432.84

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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.