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Finding the Fourth Proportional to 2,016.90, 3,021.57 and 1,606.50

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Solution

The fourth proportional to 2,016.90, 3,021.57 and 1,606.50 is: 2,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.90 : 3,021.57 = 1,606.50 : x
  2. Step 2: Convert to fraction form
    2,016.90/3,021.57 = 1,606.50/x
  3. Step 3: Cross multiply
    2,016.90x = 3,021.57 × 1,606.50
  4. Step 4: Simplify right side
    2,016.90x = 4,854,152.21
  5. Step 5: Solve for x
    x = 4,854,152.21/2,016.90
  6. Step 6: Final answer
    x = 2,406.74

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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.