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Finding the Fourth Proportional to 2,003.19, 3,005.19 and 1,656.90

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Solution

The fourth proportional to 2,003.19, 3,005.19 and 1,656.90 is: 2,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.19 : 3,005.19 = 1,656.90 : x
  2. Step 2: Convert to fraction form
    2,003.19/3,005.19 = 1,656.90/x
  3. Step 3: Cross multiply
    2,003.19x = 3,005.19 × 1,656.90
  4. Step 4: Simplify right side
    2,003.19x = 4,979,299.31
  5. Step 5: Solve for x
    x = 4,979,299.31/2,003.19
  6. Step 6: Final answer
    x = 2,485.68

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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.