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Finding the Fourth Proportional to 2,342.84, 3,511.81 and 1,092.40

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Solution

The fourth proportional to 2,342.84, 3,511.81 and 1,092.40 is: 1,637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.84 : 3,511.81 = 1,092.40 : x
  2. Step 2: Convert to fraction form
    2,342.84/3,511.81 = 1,092.40/x
  3. Step 3: Cross multiply
    2,342.84x = 3,511.81 × 1,092.40
  4. Step 4: Simplify right side
    2,342.84x = 3,836,292.62
  5. Step 5: Solve for x
    x = 3,836,292.62/2,342.84
  6. Step 6: Final answer
    x = 1,637.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.