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Finding the Fourth Proportional to 2,016.43, 3,038.45 and 1,659.22

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Solution

The fourth proportional to 2,016.43, 3,038.45 and 1,659.22 is: 2,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.43 : 3,038.45 = 1,659.22 : x
  2. Step 2: Convert to fraction form
    2,016.43/3,038.45 = 1,659.22/x
  3. Step 3: Cross multiply
    2,016.43x = 3,038.45 × 1,659.22
  4. Step 4: Simplify right side
    2,016.43x = 5,041,441.12
  5. Step 5: Solve for x
    x = 5,041,441.12/2,016.43
  6. Step 6: Final answer
    x = 2,500.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.