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Finding the Fourth Proportional to 2,006.83, 2,996.91 and 1,985.11

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Solution

The fourth proportional to 2,006.83, 2,996.91 and 1,985.11 is: 2,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.83 : 2,996.91 = 1,985.11 : x
  2. Step 2: Convert to fraction form
    2,006.83/2,996.91 = 1,985.11/x
  3. Step 3: Cross multiply
    2,006.83x = 2,996.91 × 1,985.11
  4. Step 4: Simplify right side
    2,006.83x = 5,949,196.01
  5. Step 5: Solve for x
    x = 5,949,196.01/2,006.83
  6. Step 6: Final answer
    x = 2,964.47

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Why These Related Problems?

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