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Finding the Fourth Proportional to 2,788.02, 3,847.34 and 1,668.28

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Solution

The fourth proportional to 2,788.02, 3,847.34 and 1,668.28 is: 2,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.02 : 3,847.34 = 1,668.28 : x
  2. Step 2: Convert to fraction form
    2,788.02/3,847.34 = 1,668.28/x
  3. Step 3: Cross multiply
    2,788.02x = 3,847.34 × 1,668.28
  4. Step 4: Simplify right side
    2,788.02x = 6,418,440.38
  5. Step 5: Solve for x
    x = 6,418,440.38/2,788.02
  6. Step 6: Final answer
    x = 2,302.15

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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.