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Finding the Fourth Proportional to 3,302.69, 4,556.80 and 2,043.14

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Solution

The fourth proportional to 3,302.69, 4,556.80 and 2,043.14 is: 2,818.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.69 : 4,556.80 = 2,043.14 : x
  2. Step 2: Convert to fraction form
    3,302.69/4,556.80 = 2,043.14/x
  3. Step 3: Cross multiply
    3,302.69x = 4,556.80 × 2,043.14
  4. Step 4: Simplify right side
    3,302.69x = 9,310,180.35
  5. Step 5: Solve for x
    x = 9,310,180.35/3,302.69
  6. Step 6: Final answer
    x = 2,818.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.