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Finding the Fourth Proportional to 2,132.82, 2,943.10 and 1,188.44

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Solution

The fourth proportional to 2,132.82, 2,943.10 and 1,188.44 is: 1,639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.82 : 2,943.10 = 1,188.44 : x
  2. Step 2: Convert to fraction form
    2,132.82/2,943.10 = 1,188.44/x
  3. Step 3: Cross multiply
    2,132.82x = 2,943.10 × 1,188.44
  4. Step 4: Simplify right side
    2,132.82x = 3,497,697.76
  5. Step 5: Solve for x
    x = 3,497,697.76/2,132.82
  6. Step 6: Final answer
    x = 1,639.94

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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.