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Finding the Fourth Proportional to 1,687.78, 2,519.59 and 1,676.14

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Solution

The fourth proportional to 1,687.78, 2,519.59 and 1,676.14 is: 2,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.78 : 2,519.59 = 1,676.14 : x
  2. Step 2: Convert to fraction form
    1,687.78/2,519.59 = 1,676.14/x
  3. Step 3: Cross multiply
    1,687.78x = 2,519.59 × 1,676.14
  4. Step 4: Simplify right side
    1,687.78x = 4,223,185.58
  5. Step 5: Solve for x
    x = 4,223,185.58/1,687.78
  6. Step 6: Final answer
    x = 2,502.21

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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.