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Finding the Fourth Proportional to 3,378.92, 4,663.63 and 1,962.83

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Solution

The fourth proportional to 3,378.92, 4,663.63 and 1,962.83 is: 2,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.92 : 4,663.63 = 1,962.83 : x
  2. Step 2: Convert to fraction form
    3,378.92/4,663.63 = 1,962.83/x
  3. Step 3: Cross multiply
    3,378.92x = 4,663.63 × 1,962.83
  4. Step 4: Simplify right side
    3,378.92x = 9,153,915.94
  5. Step 5: Solve for x
    x = 9,153,915.94/3,378.92
  6. Step 6: Final answer
    x = 2,709.13

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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.