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Finding the Fourth Proportional to 2,802.45, 3,863.16 and 2,304.23

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Solution

The fourth proportional to 2,802.45, 3,863.16 and 2,304.23 is: 3,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.45 : 3,863.16 = 2,304.23 : x
  2. Step 2: Convert to fraction form
    2,802.45/3,863.16 = 2,304.23/x
  3. Step 3: Cross multiply
    2,802.45x = 3,863.16 × 2,304.23
  4. Step 4: Simplify right side
    2,802.45x = 8,901,581.21
  5. Step 5: Solve for x
    x = 8,901,581.21/2,802.45
  6. Step 6: Final answer
    x = 3,176.36

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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.