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Finding the Fourth Proportional to 2,657.88, 3,668.34 and 1,729.08

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Solution

The fourth proportional to 2,657.88, 3,668.34 and 1,729.08 is: 2,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.88 : 3,668.34 = 1,729.08 : x
  2. Step 2: Convert to fraction form
    2,657.88/3,668.34 = 1,729.08/x
  3. Step 3: Cross multiply
    2,657.88x = 3,668.34 × 1,729.08
  4. Step 4: Simplify right side
    2,657.88x = 6,342,853.33
  5. Step 5: Solve for x
    x = 6,342,853.33/2,657.88
  6. Step 6: Final answer
    x = 2,386.43

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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.