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Finding the Fourth Proportional to 1,972.92, 2,961.18 and 999.69

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Solution

The fourth proportional to 1,972.92, 2,961.18 and 999.69 is: 1,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.92 : 2,961.18 = 999.69 : x
  2. Step 2: Convert to fraction form
    1,972.92/2,961.18 = 999.69/x
  3. Step 3: Cross multiply
    1,972.92x = 2,961.18 × 999.69
  4. Step 4: Simplify right side
    1,972.92x = 2,960,262.03
  5. Step 5: Solve for x
    x = 2,960,262.03/1,972.92
  6. Step 6: Final answer
    x = 1,500.45

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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.