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Finding the Fourth Proportional to 2,864.31, 3,954.06 and 2,084.28

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Solution

The fourth proportional to 2,864.31, 3,954.06 and 2,084.28 is: 2,877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.31 : 3,954.06 = 2,084.28 : x
  2. Step 2: Convert to fraction form
    2,864.31/3,954.06 = 2,084.28/x
  3. Step 3: Cross multiply
    2,864.31x = 3,954.06 × 2,084.28
  4. Step 4: Simplify right side
    2,864.31x = 8,241,368.18
  5. Step 5: Solve for x
    x = 8,241,368.18/2,864.31
  6. Step 6: Final answer
    x = 2,877.26

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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.