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Finding the Fourth Proportional to 2,858.54, 4,286.88 and 910.29

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Solution

The fourth proportional to 2,858.54, 4,286.88 and 910.29 is: 1,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.54 : 4,286.88 = 910.29 : x
  2. Step 2: Convert to fraction form
    2,858.54/4,286.88 = 910.29/x
  3. Step 3: Cross multiply
    2,858.54x = 4,286.88 × 910.29
  4. Step 4: Simplify right side
    2,858.54x = 3,902,304.00
  5. Step 5: Solve for x
    x = 3,902,304.00/2,858.54
  6. Step 6: Final answer
    x = 1,365.14

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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.