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Finding the Fourth Proportional to 1,884.47, 2,841.15 and 1,757.43

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Solution

The fourth proportional to 1,884.47, 2,841.15 and 1,757.43 is: 2,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.47 : 2,841.15 = 1,757.43 : x
  2. Step 2: Convert to fraction form
    1,884.47/2,841.15 = 1,757.43/x
  3. Step 3: Cross multiply
    1,884.47x = 2,841.15 × 1,757.43
  4. Step 4: Simplify right side
    1,884.47x = 4,993,122.24
  5. Step 5: Solve for x
    x = 4,993,122.24/1,884.47
  6. Step 6: Final answer
    x = 2,649.62

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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.