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Finding the Fourth Proportional to 1,838.30, 2,743.14 and 1,622.30

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Solution

The fourth proportional to 1,838.30, 2,743.14 and 1,622.30 is: 2,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.30 : 2,743.14 = 1,622.30 : x
  2. Step 2: Convert to fraction form
    1,838.30/2,743.14 = 1,622.30/x
  3. Step 3: Cross multiply
    1,838.30x = 2,743.14 × 1,622.30
  4. Step 4: Simplify right side
    1,838.30x = 4,450,188.39
  5. Step 5: Solve for x
    x = 4,450,188.39/1,838.30
  6. Step 6: Final answer
    x = 2,420.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.