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Finding the Fourth Proportional to 2,994.34, 4,132.20 and 1,668.34

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Solution

The fourth proportional to 2,994.34, 4,132.20 and 1,668.34 is: 2,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.34 : 4,132.20 = 1,668.34 : x
  2. Step 2: Convert to fraction form
    2,994.34/4,132.20 = 1,668.34/x
  3. Step 3: Cross multiply
    2,994.34x = 4,132.20 × 1,668.34
  4. Step 4: Simplify right side
    2,994.34x = 6,893,914.55
  5. Step 5: Solve for x
    x = 6,893,914.55/2,994.34
  6. Step 6: Final answer
    x = 2,302.32

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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.