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Finding the Fourth Proportional to 1,999.13, 2,986.56 and 1,671.08

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Solution

The fourth proportional to 1,999.13, 2,986.56 and 1,671.08 is: 2,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.13 : 2,986.56 = 1,671.08 : x
  2. Step 2: Convert to fraction form
    1,999.13/2,986.56 = 1,671.08/x
  3. Step 3: Cross multiply
    1,999.13x = 2,986.56 × 1,671.08
  4. Step 4: Simplify right side
    1,999.13x = 4,990,765.75
  5. Step 5: Solve for x
    x = 4,990,765.75/1,999.13
  6. Step 6: Final answer
    x = 2,496.48

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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.