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Finding the Fourth Proportional to 2,006.96, 2,997.10 and 1,985.24

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Solution

The fourth proportional to 2,006.96, 2,997.10 and 1,985.24 is: 2,964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.96 : 2,997.10 = 1,985.24 : x
  2. Step 2: Convert to fraction form
    2,006.96/2,997.10 = 1,985.24/x
  3. Step 3: Cross multiply
    2,006.96x = 2,997.10 × 1,985.24
  4. Step 4: Simplify right side
    2,006.96x = 5,949,942.86
  5. Step 5: Solve for x
    x = 5,949,942.86/2,006.96
  6. Step 6: Final answer
    x = 2,964.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.