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Finding the Fourth Proportional to 1,999.08, 2,997 and 1,689.66

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Solution

The fourth proportional to 1,999.08, 2,997 and 1,689.66 is: 2,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.08 : 2,997 = 1,689.66 : x
  2. Step 2: Convert to fraction form
    1,999.08/2,997 = 1,689.66/x
  3. Step 3: Cross multiply
    1,999.08x = 2,997 × 1,689.66
  4. Step 4: Simplify right side
    1,999.08x = 5,063,911.02
  5. Step 5: Solve for x
    x = 5,063,911.02/1,999.08
  6. Step 6: Final answer
    x = 2,533.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.