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Finding the Fourth Proportional to 2,137.14, 2,950.58 and 1,638.82

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Solution

The fourth proportional to 2,137.14, 2,950.58 and 1,638.82 is: 2,262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.14 : 2,950.58 = 1,638.82 : x
  2. Step 2: Convert to fraction form
    2,137.14/2,950.58 = 1,638.82/x
  3. Step 3: Cross multiply
    2,137.14x = 2,950.58 × 1,638.82
  4. Step 4: Simplify right side
    2,137.14x = 4,835,466.24
  5. Step 5: Solve for x
    x = 4,835,466.24/2,137.14
  6. Step 6: Final answer
    x = 2,262.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.