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Finding the Fourth Proportional to 3,411.82, 4,706.88 and 2,150.62

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Solution

The fourth proportional to 3,411.82, 4,706.88 and 2,150.62 is: 2,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.82 : 4,706.88 = 2,150.62 : x
  2. Step 2: Convert to fraction form
    3,411.82/4,706.88 = 2,150.62/x
  3. Step 3: Cross multiply
    3,411.82x = 4,706.88 × 2,150.62
  4. Step 4: Simplify right side
    3,411.82x = 10,122,710.27
  5. Step 5: Solve for x
    x = 10,122,710.27/3,411.82
  6. Step 6: Final answer
    x = 2,966.95

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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.