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Finding the Fourth Proportional to 2,730.82, 3,768.94 and 1,552

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Solution

The fourth proportional to 2,730.82, 3,768.94 and 1,552 is: 2,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.82 : 3,768.94 = 1,552 : x
  2. Step 2: Convert to fraction form
    2,730.82/3,768.94 = 1,552/x
  3. Step 3: Cross multiply
    2,730.82x = 3,768.94 × 1,552
  4. Step 4: Simplify right side
    2,730.82x = 5,849,394.88
  5. Step 5: Solve for x
    x = 5,849,394.88/2,730.82
  6. Step 6: Final answer
    x = 2,141.99

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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.