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Finding the Fourth Proportional to 1,972.92, 2,720.10 and 1,617.54

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Solution

The fourth proportional to 1,972.92, 2,720.10 and 1,617.54 is: 2,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.92 : 2,720.10 = 1,617.54 : x
  2. Step 2: Convert to fraction form
    1,972.92/2,720.10 = 1,617.54/x
  3. Step 3: Cross multiply
    1,972.92x = 2,720.10 × 1,617.54
  4. Step 4: Simplify right side
    1,972.92x = 4,399,870.55
  5. Step 5: Solve for x
    x = 4,399,870.55/1,972.92
  6. Step 6: Final answer
    x = 2,230.13

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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.