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Finding the Fourth Proportional to 2,668.89, 3,683.01 and 1,549.92

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Solution

The fourth proportional to 2,668.89, 3,683.01 and 1,549.92 is: 2,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.89 : 3,683.01 = 1,549.92 : x
  2. Step 2: Convert to fraction form
    2,668.89/3,683.01 = 1,549.92/x
  3. Step 3: Cross multiply
    2,668.89x = 3,683.01 × 1,549.92
  4. Step 4: Simplify right side
    2,668.89x = 5,708,370.86
  5. Step 5: Solve for x
    x = 5,708,370.86/2,668.89
  6. Step 6: Final answer
    x = 2,138.86

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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.