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Finding the Fourth Proportional to 2,802.28, 4,203.16 and 1,321.16

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Solution

The fourth proportional to 2,802.28, 4,203.16 and 1,321.16 is: 1,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.28 : 4,203.16 = 1,321.16 : x
  2. Step 2: Convert to fraction form
    2,802.28/4,203.16 = 1,321.16/x
  3. Step 3: Cross multiply
    2,802.28x = 4,203.16 × 1,321.16
  4. Step 4: Simplify right side
    2,802.28x = 5,553,046.87
  5. Step 5: Solve for x
    x = 5,553,046.87/2,802.28
  6. Step 6: Final answer
    x = 1,981.62

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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.