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Finding the Fourth Proportional to 2,802.95, 3,863.85 and 2,304.73

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Solution

The fourth proportional to 2,802.95, 3,863.85 and 2,304.73 is: 3,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.95 : 3,863.85 = 2,304.73 : x
  2. Step 2: Convert to fraction form
    2,802.95/3,863.85 = 2,304.73/x
  3. Step 3: Cross multiply
    2,802.95x = 3,863.85 × 2,304.73
  4. Step 4: Simplify right side
    2,802.95x = 8,905,100.17
  5. Step 5: Solve for x
    x = 8,905,100.17/2,802.95
  6. Step 6: Final answer
    x = 3,177.05

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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.