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Finding the Fourth Proportional to 3,101.75, 4,645.03 and 2,002.78

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Solution

The fourth proportional to 3,101.75, 4,645.03 and 2,002.78 is: 2,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.75 : 4,645.03 = 2,002.78 : x
  2. Step 2: Convert to fraction form
    3,101.75/4,645.03 = 2,002.78/x
  3. Step 3: Cross multiply
    3,101.75x = 4,645.03 × 2,002.78
  4. Step 4: Simplify right side
    3,101.75x = 9,302,973.18
  5. Step 5: Solve for x
    x = 9,302,973.18/3,101.75
  6. Step 6: Final answer
    x = 2,999.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.