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Finding the Fourth Proportional to 2,972.03, 4,101.41 and 1,645.73

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Solution

The fourth proportional to 2,972.03, 4,101.41 and 1,645.73 is: 2,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.03 : 4,101.41 = 1,645.73 : x
  2. Step 2: Convert to fraction form
    2,972.03/4,101.41 = 1,645.73/x
  3. Step 3: Cross multiply
    2,972.03x = 4,101.41 × 1,645.73
  4. Step 4: Simplify right side
    2,972.03x = 6,749,813.48
  5. Step 5: Solve for x
    x = 6,749,813.48/2,972.03
  6. Step 6: Final answer
    x = 2,271.11

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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.