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Finding the Fourth Proportional to 1,972.83, 2,721.13 and 1,599.82

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Solution

The fourth proportional to 1,972.83, 2,721.13 and 1,599.82 is: 2,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.83 : 2,721.13 = 1,599.82 : x
  2. Step 2: Convert to fraction form
    1,972.83/2,721.13 = 1,599.82/x
  3. Step 3: Cross multiply
    1,972.83x = 2,721.13 × 1,599.82
  4. Step 4: Simplify right side
    1,972.83x = 4,353,318.20
  5. Step 5: Solve for x
    x = 4,353,318.20/1,972.83
  6. Step 6: Final answer
    x = 2,206.64

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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.