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Finding the Fourth Proportional to 2,858.56, 4,286.94 and 1,009.24

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Solution

The fourth proportional to 2,858.56, 4,286.94 and 1,009.24 is: 1,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.56 : 4,286.94 = 1,009.24 : x
  2. Step 2: Convert to fraction form
    2,858.56/4,286.94 = 1,009.24/x
  3. Step 3: Cross multiply
    2,858.56x = 4,286.94 × 1,009.24
  4. Step 4: Simplify right side
    2,858.56x = 4,326,529.89
  5. Step 5: Solve for x
    x = 4,326,529.89/2,858.56
  6. Step 6: Final answer
    x = 1,513.54

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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.