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Finding the Fourth Proportional to 2,190.27, 3,283.43 and 802.62

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Solution

The fourth proportional to 2,190.27, 3,283.43 and 802.62 is: 1,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.27 : 3,283.43 = 802.62 : x
  2. Step 2: Convert to fraction form
    2,190.27/3,283.43 = 802.62/x
  3. Step 3: Cross multiply
    2,190.27x = 3,283.43 × 802.62
  4. Step 4: Simplify right side
    2,190.27x = 2,635,342.57
  5. Step 5: Solve for x
    x = 2,635,342.57/2,190.27
  6. Step 6: Final answer
    x = 1,203.20

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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.