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Finding the Fourth Proportional to 2,858.28, 4,287.72 and 910.03

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Solution

The fourth proportional to 2,858.28, 4,287.72 and 910.03 is: 1,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.28 : 4,287.72 = 910.03 : x
  2. Step 2: Convert to fraction form
    2,858.28/4,287.72 = 910.03/x
  3. Step 3: Cross multiply
    2,858.28x = 4,287.72 × 910.03
  4. Step 4: Simplify right side
    2,858.28x = 3,901,932.39
  5. Step 5: Solve for x
    x = 3,901,932.39/2,858.28
  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.