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Finding the Fourth Proportional to 2,006.30, 3,005.40 and 1,641.80

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Solution

The fourth proportional to 2,006.30, 3,005.40 and 1,641.80 is: 2,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.30 : 3,005.40 = 1,641.80 : x
  2. Step 2: Convert to fraction form
    2,006.30/3,005.40 = 1,641.80/x
  3. Step 3: Cross multiply
    2,006.30x = 3,005.40 × 1,641.80
  4. Step 4: Simplify right side
    2,006.30x = 4,934,265.72
  5. Step 5: Solve for x
    x = 4,934,265.72/2,006.30
  6. Step 6: Final answer
    x = 2,459.39

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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.