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Finding the Fourth Proportional to 2,006.72, 2,984.86 and 1,841.48

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Solution

The fourth proportional to 2,006.72, 2,984.86 and 1,841.48 is: 2,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.72 : 2,984.86 = 1,841.48 : x
  2. Step 2: Convert to fraction form
    2,006.72/2,984.86 = 1,841.48/x
  3. Step 3: Cross multiply
    2,006.72x = 2,984.86 × 1,841.48
  4. Step 4: Simplify right side
    2,006.72x = 5,496,559.99
  5. Step 5: Solve for x
    x = 5,496,559.99/2,006.72
  6. Step 6: Final answer
    x = 2,739.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.